diff --git a/manual/memory.texi b/manual/memory.texi
index 0b2b9c8795..9e407cd44a 100644
--- a/manual/memory.texi
+++ b/manual/memory.texi
@@ -994,8 +994,8 @@ power of two than that, use @code{aligned_alloc} or @code{posix_memalign}.
 @safety{@prelim{}@mtsafe{}@asunsafe{@asulock{}}@acunsafe{@aculock{} @acsfd{} @acsmem{}}}
 @c Alias to memalign.
 The @code{aligned_alloc} function allocates a block of @var{size} bytes whose
-address is a multiple of @var{alignment}.  The @var{alignment} must be a
-power of two and @var{size} must be a multiple of @var{alignment}.
+address is a multiple of @var{adjusted-alignment}.  The value of @var{adjusted-alignment}
+is the smallest power of two that's greater than or equal to @var{alignment}.
 
 The @code{aligned_alloc} function returns a null pointer on error and sets
 @code{errno} to one of the following values:
@@ -1005,7 +1005,7 @@ The @code{aligned_alloc} function returns a null pointer on error and sets
 There was insufficient memory available to satisfy the request.
 
 @item EINVAL
-@var{alignment} is not a power of two.
+The value of @var{alignment} is greater than @code{SIZE_MAX / 2 + 1}.
 
 This function was introduced in @w{ISO C11} and hence may have better
 portability to modern non-POSIX systems than @code{posix_memalign}.