13057438072597 has 2 divisors, whose sum is σ = 13057438072598. Its totient is φ = 13057438072596.

The previous prime is 13057438072541. The next prime is 13057438072727. The reversal of 13057438072597 is 79527083475031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8332927195761 + 4724510876836 = 2886681^2 + 2173594^2 .

It is an emirp because it is prime and its reverse (79527083475031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13057438072597 - 2³⁵ = 13023078334229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13057438072897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528719036298 + 6528719036299.

It is an arithmetic number, because the mean of its divisors is an integer number (6528719036299).

Almost surely, 2^{13057438072597} is an apocalyptic number.

It is an amenable number.

13057438072597 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057438072597 is an equidigital number, since it uses as much as digits as its factorization.

13057438072597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44452800, while the sum is 61.

The spelling of 13057438072597 in words is "thirteen trillion, fifty-seven billion, four hundred thirty-eight million, seventy-two thousand, five hundred ninety-seven".