256517413647107 has 2 divisors, whose sum is σ = 256517413647108. Its totient is φ = 256517413647106.

The previous prime is 256517413646987. The next prime is 256517413647137. The reversal of 256517413647107 is 701746314715652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 256517413647107 - 2²⁴ = 256517396869891 is a prime.

It is not a weakly prime, because it can be changed into another prime (256517413647137) 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 as a sum of consecutive naturals, namely, 128258706823553 + 128258706823554.

It is an arithmetic number, because the mean of its divisors is an integer number (128258706823554).

Almost surely, 2^{256517413647107} is an apocalyptic number.

256517413647107 is a deficient number, since it is larger than the sum of its proper divisors (1).

256517413647107 is an equidigital number, since it uses as much as digits as its factorization.

256517413647107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29635200, while the sum is 59.

The spelling of 256517413647107 in words is "two hundred fifty-six trillion, five hundred seventeen billion, four hundred thirteen million, six hundred forty-seven thousand, one hundred seven".