256512025100 has 72 divisors (see below), whose sum is σ = 586126443840. Its totient is φ = 97171548480.

The previous prime is 256512025097. The next prime is 256512025111. The reversal of 256512025100 is 1520215652.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5988359 + ... + 6031041.

Almost surely, 2^256512025100 is an apocalyptic number.

256512025100 is a gapful number since it is divisible by the number (20) 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 256512025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293063221920).

256512025100 is an abundant number, since it is smaller than the sum of its proper divisors (329614418740).

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

256512025100 is a wasteful number, since it uses less digits than its factorization.

256512025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45879 (or 45872 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 256512025100 in words is "two hundred fifty-six billion, five hundred twelve million, twenty-five thousand, one hundred".