12998137256353 has 2 divisors, whose sum is σ = 12998137256354. Its totient is φ = 12998137256352.

The previous prime is 12998137256243. The next prime is 12998137256359. The reversal of 12998137256353 is 35365273189921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6909837623649 + 6088299632704 = 2628657^2 + 2467448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12998137256353 is a prime.

It is not a weakly prime, because it can be changed into another prime (12998137256359) 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, 6499068628176 + 6499068628177.

It is an arithmetic number, because the mean of its divisors is an integer number (6499068628177).

Almost surely, 2^{12998137256353} is an apocalyptic number.

It is an amenable number.

12998137256353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12998137256353 is an equidigital number, since it uses as much as digits as its factorization.

12998137256353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73483200, while the sum is 64.

The spelling of 12998137256353 in words is "twelve trillion, nine hundred ninety-eight billion, one hundred thirty-seven million, two hundred fifty-six thousand, three hundred fifty-three".