512797656 has 128 divisors (see below), whose sum is σ = 1558656000. Its totient is φ = 137244672.

The previous prime is 512797613. The next prime is 512797687. The reversal of 512797656 is 656797215.

It is a super-2 number, since 2×512797656² = 525922871998188672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167885 + ... + 1168323.

It is an arithmetic number, because the mean of its divisors is an integer number (12177000).

Almost surely, 2^512797656 is an apocalyptic number.

512797656 is a gapful number since it is divisible by the number (56) 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 512797656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779328000).

512797656 is an abundant number, since it is smaller than the sum of its proper divisors (1045858344).

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

512797656 is a wasteful number, since it uses less digits than its factorization.

512797656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The square root of 512797656 is about 22645.0360123361. The cubic root of 512797656 is about 800.4152302758.

The spelling of 512797656 in words is "five hundred twelve million, seven hundred ninety-seven thousand, six hundred fifty-six".