512971056 has 280 divisors, whose sum is σ = 1707703200. Its totient is φ = 147806208.

The previous prime is 512971051. The next prime is 512971057. The reversal of 512971056 is 650179215.

512971056 is a `hidden beast` number, since 512 + 97 + 1 + 0 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 512971056.

It is not an unprimeable number, because it can be changed into a prime (512971051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2577645 + ... + 2577843.

It is an arithmetic number, because the mean of its divisors is an integer number (6098940).

Almost surely, 2^512971056 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 512971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853851600).

512971056 is an abundant number, since it is smaller than the sum of its proper divisors (1194732144).

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

512971056 is a wasteful number, since it uses less digits than its factorization.

512971056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 512971056 is about 22648.8643423903. The cubic root of 512971056 is about 800.5054389304.

The spelling of 512971056 in words is "five hundred twelve million, nine hundred seventy-one thousand, fifty-six".