256558100 has 72 divisors (see below), whose sum is σ = 584420928. Its totient is φ = 97574400.

The previous prime is 256558097. The next prime is 256558147. The reversal of 256558100 is 1855652.

It is a super-2 number, since 2×256558100² = 131644117351220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 761132 + ... + 761468.

Almost surely, 2^256558100 is an apocalyptic number.

256558100 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 256558100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292210464).

256558100 is an abundant number, since it is smaller than the sum of its proper divisors (327862828).

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

256558100 is a wasteful number, since it uses less digits than its factorization.

256558100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 256558100 is about 16017.4311298660. The cubic root of 256558100 is about 635.4215069893.

The spelling of 256558100 in words is "two hundred fifty-six million, five hundred fifty-eight thousand, one hundred".