512

512 = 2⁹.

512 has a representation as a sum of two squares: 512 = 16² + 16².

512 is the number of integer partitions of 34 into distinct parts.

512 is the smallest integer (except 1) that is the cube of the sum of its digits: 512 = (5 + 1 + 2)³.

512 is 1000000000 in base 2, 20000 in base 4, 1331 in base 7, 1000 in base 8, 242 in base 15, and 200 in base 16.

512 is the three-digit start in the Dewey Decimal Classification System of call numbers for books in algebra and number theory.

Source: Number Gossip