256835079905625 has 225 divisors, whose sum is σ = 519241465874043. Its totient is φ = 126418807944000.

The previous prime is 256835079905567. The next prime is 256835079905647. The reversal of 256835079905625 is 526509970538652.

It is a happy number.

The square root of 256835079905625 is 16026075.

It is a perfect power (a square), and thus also a powerful number.

256835079905625 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 3 + 50 + 7 + 9 + 9 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 253683759067209 + 3151320838416 = 15927453^2 + 1775196^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 256835079905625 - 2³⁹ = 256285324091737 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 46876266636 + ... + 46876272114.

Almost surely, 2^{256835079905625} is an apocalyptic number.

256835079905625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256835079905625 is the 16026075-th square number.

256835079905625 is the 8013038-th centered octagonal number.

It is an amenable number.

256835079905625 is an abundant number, since it is smaller than the sum of its proper divisors (262406385968418).

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

256835079905625 is an frugal number, since it uses more digits than its factorization.

256835079905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 256835079905625 in words is "two hundred fifty-six trillion, eight hundred thirty-five billion, seventy-nine million, nine hundred five thousand, six hundred twenty-five".