256341105625 has 40 divisors (see below), whose sum is σ = 349684315200. Its totient is φ = 186301800000.

The previous prime is 256341105563. The next prime is 256341105653. The reversal of 256341105625 is 526501143652.

It is not a de Polignac number, because 256341105625 - 2¹⁷ = 256340974553 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 10637340 + ... + 10661410.

It is an arithmetic number, because the mean of its divisors is an integer number (8742107880).

Almost surely, 2^256341105625 is an apocalyptic number.

256341105625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256341105625 is a deficient number, since it is larger than the sum of its proper divisors (93343209575).

256341105625 is a wasteful number, since it uses less digits than its factorization.

256341105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25651 (or 25636 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 256341105625 in words is "two hundred fifty-six billion, three hundred forty-one million, one hundred five thousand, six hundred twenty-five".