512557056 has 204 divisors, whose sum is σ = 1635766080. Its totient is φ = 153354240.

The previous prime is 512557009. The next prime is 512557057. The reversal of 512557056 is 650755215.

It is a happy number.

512557056 is a `hidden beast` number, since 51 + 2 + 557 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 512557056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512557057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6488025 + ... + 6488103.

Almost surely, 2^512557056 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 512557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817883040).

512557056 is an abundant number, since it is smaller than the sum of its proper divisors (1123209024).

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

512557056 is an equidigital number, since it uses as much as digits as its factorization.

512557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 512557056 is about 22639.7229665029. The cubic root of 512557056 is about 800.2900281752.

It can be divided in two parts, 51255 and 7056, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 512557056 in words is "five hundred twelve million, five hundred fifty-seven thousand, fifty-six".