256517413647363 has 24 divisors (see below), whose sum is σ = 407917599701040. Its totient is φ = 154038813860160.

The previous prime is 256517413647353. The next prime is 256517413647413. The reversal of 256517413647363 is 363746314715652.

256517413647363 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 74 + 1 + 36 + 473 + 63 = 666.

It is not a de Polignac number, because 256517413647363 - 2⁸ = 256517413647107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256517413647363.

It is not an unprimeable number, because it can be changed into a prime (256517413647343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11885700156 + ... + 11885721737.

It is an arithmetic number, because the mean of its divisors is an integer number (16996566654210).

Almost surely, 2^{256517413647363} is an apocalyptic number.

256517413647363 is a deficient number, since it is larger than the sum of its proper divisors (151400186053677).

256517413647363 is a wasteful number, since it uses less digits than its factorization.

256517413647363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23771422019 (or 23771422016 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 256517413647363 in words is "two hundred fifty-six trillion, five hundred seventeen billion, four hundred thirteen million, six hundred forty-seven thousand, three hundred sixty-three".