256611272361 has 16 divisors (see below), whose sum is σ = 350510666688. Its totient is φ = 166893440000.

The previous prime is 256611272329. The next prime is 256611272377. The reversal of 256611272361 is 163272116652.

It is a cyclic number.

It is not a de Polignac number, because 256611272361 - 2⁵ = 256611272329 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (256611272321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3406870 + ... + 3481376.

It is an arithmetic number, because the mean of its divisors is an integer number (21906916668).

Almost surely, 2^256611272361 is an apocalyptic number.

It is an amenable number.

256611272361 is a deficient number, since it is larger than the sum of its proper divisors (93899394327).

256611272361 is a wasteful number, since it uses less digits than its factorization.

256611272361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102552.

The product of its digits is 181440, while the sum is 42.

The spelling of 256611272361 in words is "two hundred fifty-six billion, six hundred eleven million, two hundred seventy-two thousand, three hundred sixty-one".