256715576012761 has 8 divisors (see below), whose sum is σ = 257012030274048. Its totient is φ = 256419153900000.

The previous prime is 256715576012747. The next prime is 256715576012849. The reversal of 256715576012761 is 167210675517652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256715576012761 - 2⁵ = 256715576012729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256715576012761.

It is not an unprimeable number, because it can be changed into a prime (256715576012261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961061 + ... + 24016861.

It is an arithmetic number, because the mean of its divisors is an integer number (32126503784256).

Almost surely, 2^{256715576012761} is an apocalyptic number.

It is an amenable number.

256715576012761 is a deficient number, since it is larger than the sum of its proper divisors (296454261287).

256715576012761 is a wasteful number, since it uses less digits than its factorization.

256715576012761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074263.

The product of its (nonzero) digits is 37044000, while the sum is 61.

The spelling of 256715576012761 in words is "two hundred fifty-six trillion, seven hundred fifteen billion, five hundred seventy-six million, twelve thousand, seven hundred sixty-one".