12792616522817 has 2 divisors, whose sum is σ = 12792616522818. Its totient is φ = 12792616522816.

The previous prime is 12792616522783. The next prime is 12792616522837. The reversal of 12792616522817 is 71822561629721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12134012858881 + 658603663936 = 3483391^2 + 811544^2 .

It is a cyclic number.

It is not a de Polignac number, because 12792616522817 - 2²⁰ = 12792615474241 is a prime.

It is not a weakly prime, because it can be changed into another prime (12792616522837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6396308261408 + 6396308261409.

It is an arithmetic number, because the mean of its divisors is an integer number (6396308261409).

Almost surely, 2^{12792616522817} is an apocalyptic number.

It is an amenable number.

12792616522817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12792616522817 is an equidigital number, since it uses as much as digits as its factorization.

12792616522817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10160640, while the sum is 59.

The spelling of 12792616522817 in words is "twelve trillion, seven hundred ninety-two billion, six hundred sixteen million, five hundred twenty-two thousand, eight hundred seventeen".