256528512 has 128 divisors (see below), whose sum is σ = 762960000. Its totient is φ = 84851712.

The previous prime is 256528483. The next prime is 256528537. The reversal of 256528512 is 215825652.

It is a happy number.

256528512 is a `hidden beast` number, since 2 + 565 + 2 + 85 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687558 + ... + 687930.

It is an arithmetic number, because the mean of its divisors is an integer number (5960625).

Almost surely, 2^256528512 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 256528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381480000).

256528512 is an abundant number, since it is smaller than the sum of its proper divisors (506431488).

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

256528512 is a wasteful number, since it uses less digits than its factorization.

256528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 577 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 256528512 is about 16016.5074844674. The cubic root of 256528512 is about 635.3970790276.

The spelling of 256528512 in words is "two hundred fifty-six million, five hundred twenty-eight thousand, five hundred twelve".