256823125 has 40 divisors (see below), whose sum is σ = 351156344. Its totient is φ = 186624000.

The previous prime is 256823111. The next prime is 256823141. The reversal of 256823125 is 521328652.

It can be written as a sum of positive squares in 20 ways, for example, as 237961476 + 18861649 = 15426^2 + 4343^2 .

It is not a de Polignac number, because 256823125 - 2⁹ = 256822613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 592909 + ... + 593341.

Almost surely, 2^256823125 is an apocalyptic number.

256823125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256823125 is a deficient number, since it is larger than the sum of its proper divisors (94333219).

256823125 is an equidigital number, since it uses as much as digits as its factorization.

256823125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 256823125 is about 16025.7020127045. The cubic root of 256823125 is about 635.6402288973.

The spelling of 256823125 in words is "two hundred fifty-six million, eight hundred twenty-three thousand, one hundred twenty-five".