512605056 has 64 divisors (see below), whose sum is σ = 1365886080. Its totient is φ = 170331648.

The previous prime is 512605033. The next prime is 512605061. The reversal of 512605056 is 650506215.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131325 + ... + 135171.

It is an arithmetic number, because the mean of its divisors is an integer number (21341970).

Almost surely, 2^512605056 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 512605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682943040).

512605056 is an abundant number, since it is smaller than the sum of its proper divisors (853281024).

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

512605056 is a wasteful number, since it uses less digits than its factorization.

512605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 512605056 is about 22640.7830253284. The cubic root of 512605056 is about 800.3150092785.

The spelling of 512605056 in words is "five hundred twelve million, six hundred five thousand, fifty-six".