13257992769817 has 2 divisors, whose sum is σ = 13257992769818. Its totient is φ = 13257992769816.

The previous prime is 13257992769811. The next prime is 13257992769871. The reversal of 13257992769817 is 71896729975231.

13257992769817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13257992769871) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7805296089616 + 5452696680201 = 2793796^2 + 2335101^2 .

It is a cyclic number.

It is not a de Polignac number, because 13257992769817 - 2²³ = 13257984381209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13257992769811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6628996384908 + 6628996384909.

It is an arithmetic number, because the mean of its divisors is an integer number (6628996384909).

Almost surely, 2^{13257992769817} is an apocalyptic number.

It is an amenable number.

13257992769817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13257992769817 is an equidigital number, since it uses as much as digits as its factorization.

13257992769817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720135360, while the sum is 76.

The spelling of 13257992769817 in words is "thirteen trillion, two hundred fifty-seven billion, nine hundred ninety-two million, seven hundred sixty-nine thousand, eight hundred seventeen".