diff --git a/requirements-tests.txt b/requirements-tests.txt
index 2287488766a9..fa6b3ef480eb 100644
--- a/requirements-tests.txt
+++ b/requirements-tests.txt
@@ -1,5 +1,5 @@
 mypy==0.931
-pytype==2022.01.05; platform_system != "Windows" and python_version < "3.10"
+pytype==2022.01.07; platform_system != "Windows" and python_version < "3.10"
 # must match .pre-commit-config.yaml
 black==22.1.0
 flake8==4.0.1
diff --git a/stdlib/abc.pyi b/stdlib/abc.pyi
index 33a53cc74c33..61b162bf8821 100644
--- a/stdlib/abc.pyi
+++ b/stdlib/abc.pyi
@@ -1,8 +1,11 @@
 import sys
 from _typeshed import SupportsWrite
-from typing import Any, Callable, TypeVar
+from collections.abc import Callable
+from typing import Any, Generic, TypeVar
+from typing_extensions import Literal
 
 _T = TypeVar("_T")
+_R_co = TypeVar("_R_co", covariant=True)
 _FuncT = TypeVar("_FuncT", bound=Callable[..., Any])
 
 # These definitions have special processing in mypy
@@ -16,12 +19,15 @@ class ABCMeta(type):
 
 def abstractmethod(funcobj: _FuncT) -> _FuncT: ...
 
-class abstractproperty(property): ...
+class abstractclassmethod(classmethod[_R_co], Generic[_R_co]):
+    __isabstractmethod__: Literal[True]
+    def __init__(self: abstractclassmethod[_R_co], callable: Callable[..., _R_co]) -> None: ...
 
-# These two are deprecated and not supported by mypy
-def abstractstaticmethod(callable: _FuncT) -> _FuncT: ...
-def abstractclassmethod(callable: _FuncT) -> _FuncT: ...
+class abstractstaticmethod(staticmethod[_R_co], Generic[_R_co]):
+    __isabstractmethod__: Literal[True]
+    def __init__(self, callable: Callable[..., _R_co]) -> None: ...
 
+class abstractproperty(property): ...
 class ABC(metaclass=ABCMeta): ...
 
 def get_cache_token() -> object: ...
diff --git a/stdlib/builtins.pyi b/stdlib/builtins.pyi
index 81a7773bad04..a42cd04236db 100644
--- a/stdlib/builtins.pyi
+++ b/stdlib/builtins.pyi
@@ -22,6 +22,7 @@ from _typeshed import (
     SupportsTrunc,
     SupportsWrite,
 )
+from collections.abc import Callable
 from io import BufferedRandom, BufferedReader, BufferedWriter, FileIO, TextIOWrapper
 from types import CodeType, TracebackType, _Cell
 from typing import (
@@ -30,7 +31,6 @@ from typing import (
     Any,
     BinaryIO,
     ByteString,
-    Callable,
     Generic,
     Iterable,
     Iterator,
@@ -61,6 +61,7 @@ if sys.version_info >= (3, 9):
 _T = TypeVar("_T")
 _T_co = TypeVar("_T_co", covariant=True)
 _T_contra = TypeVar("_T_contra", contravariant=True)
+_R_co = TypeVar("_R_co", covariant=True)
 _KT = TypeVar("_KT")
 _VT = TypeVar("_VT")
 _S = TypeVar("_S")
@@ -69,7 +70,6 @@ _T2 = TypeVar("_T2")
 _T3 = TypeVar("_T3")
 _T4 = TypeVar("_T4")
 _T5 = TypeVar("_T5")
-_R = TypeVar("_R")  # Return-type TypeVar
 _SupportsNextT = TypeVar("_SupportsNextT", bound=SupportsNext[Any], covariant=True)
 _SupportsAnextT = TypeVar("_SupportsAnextT", bound=SupportsAnext[Any], covariant=True)
 
@@ -112,26 +112,26 @@ class object:
     def __dir__(self) -> Iterable[str]: ...
     def __init_subclass__(cls) -> None: ...
 
-class staticmethod(Generic[_R]):
-    __func__: Callable[..., _R]
+class staticmethod(Generic[_R_co]):
+    __func__: Callable[..., _R_co]
     __isabstractmethod__: bool
-    def __init__(self: staticmethod[_R], __f: Callable[..., _R]) -> None: ...
-    def __get__(self, __obj: _T, __type: type[_T] | None = ...) -> Callable[..., _R]: ...
+    def __init__(self: staticmethod[_R_co], __f: Callable[..., _R_co]) -> None: ...
+    def __get__(self, __obj: _T, __type: type[_T] | None = ...) -> Callable[..., _R_co]: ...
     if sys.version_info >= (3, 10):
         __name__: str
         __qualname__: str
-        __wrapped__: Callable[..., _R]
-        def __call__(self, *args: Any, **kwargs: Any) -> _R: ...
+        __wrapped__: Callable[..., _R_co]
+        def __call__(self, *args: Any, **kwargs: Any) -> _R_co: ...
 
-class classmethod(Generic[_R]):
-    __func__: Callable[..., _R]
+class classmethod(Generic[_R_co]):
+    __func__: Callable[..., _R_co]
     __isabstractmethod__: bool
-    def __init__(self: classmethod[_R], __f: Callable[..., _R]) -> None: ...
-    def __get__(self, __obj: _T, __type: type[_T] | None = ...) -> Callable[..., _R]: ...
+    def __init__(self: classmethod[_R_co], __f: Callable[..., _R_co]) -> None: ...
+    def __get__(self, __obj: _T, __type: type[_T] | None = ...) -> Callable[..., _R_co]: ...
     if sys.version_info >= (3, 10):
         __name__: str
         __qualname__: str
-        __wrapped__: Callable[..., _R]
+        __wrapped__: Callable[..., _R_co]
 
 class type:
     __base__: type
diff --git a/tests/stubtest_allowlists/py3_common.txt b/tests/stubtest_allowlists/py3_common.txt
index f244ecff7c52..343cda1b1e97 100644
--- a/tests/stubtest_allowlists/py3_common.txt
+++ b/tests/stubtest_allowlists/py3_common.txt
@@ -19,8 +19,6 @@ _csv.Dialect.__init__  # C __init__ signature is inaccurate
 _socket.*
 _threading_local.local.__new__
 _weakref.ref.__call__
-abc.abstractclassmethod  # Deprecated, unsupported by mypy, hard to fix. #6552
-abc.abstractstaticmethod  # Deprecated, unsupported by mypy, hard to fix. #6552
 abc.ABCMeta.__new__  # pytype wants the parameter named cls and not mcls
 _weakref.CallableProxyType.__getattr__  # Should have all attributes of proxy
 _weakref.ProxyType.__getattr__  # Should have all attributes of proxy