512512 has 80 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 184320.

The previous prime is 512507. The next prime is 512521. The reversal of 512512 is 215215.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

512512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39418 + ... + 39430.

2⁵¹²⁵¹² is an apocalyptic number.

512512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

512512 is an abundant number, since it is smaller than the sum of its proper divisors (862400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512512 is a wasteful number, since it uses less digits than its factorization.

512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 33 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 512512 is about 715.8994342783. The cubic root of 512512 is about 80.0266577827.

Adding to 512512 its reverse (215215), we get a palindrome (727727).

It can be divided in two parts, 512 and 512, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 512512 in words is "five hundred twelve thousand, five hundred twelve".