512493696 has 512 divisors, whose sum is σ = 1912377600. Its totient is φ = 132710400.

The previous prime is 512493677. The next prime is 512493719. The reversal of 512493696 is 696394215.

512493696 is a `hidden beast` number, since 512 + 49 + 3 + 6 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8401506 + ... + 8401566.

Almost surely, 2^512493696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

512493696 is an abundant number, since it is smaller than the sum of its proper divisors (1399883904).

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

512493696 is a wasteful number, since it uses less digits than its factorization.

512493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 512493696 is about 22638.3236128473. The cubic root of 512493696 is about 800.2570507306.

It can be divided in two parts, 51249 and 3696, that added together give a palindrome (54945).

The spelling of 512493696 in words is "five hundred twelve million, four hundred ninety-three thousand, six hundred ninety-six".