256631105024361 has 16 divisors (see below), whose sum is σ = 380322978253120. Its totient is φ = 171029466485280.

The previous prime is 256631105024299. The next prime is 256631105024369. The reversal of 256631105024361 is 163420501136652.

It is a happy number.

256631105024361 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 31 + 10 + 502 + 43 + 61 = 666.

It is not a de Polignac number, because 256631105024361 - 2⁹ = 256631105023849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256631105024369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609276135 + ... + 1609435596.

It is an arithmetic number, because the mean of its divisors is an integer number (23770186140820).

Almost surely, 2^{256631105024361} is an apocalyptic number.

It is an amenable number.

256631105024361 is a deficient number, since it is larger than the sum of its proper divisors (123691873228759).

256631105024361 is a wasteful number, since it uses less digits than its factorization.

256631105024361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218714693 (or 3218714687 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 256631105024361 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, one hundred five million, twenty-four thousand, three hundred sixty-one".