157753371402413 has 2 divisors, whose sum is σ = 157753371402414. Its totient is φ = 157753371402412.

The previous prime is 157753371402397. The next prime is 157753371402421. The reversal of 157753371402413 is 314204173357751.

It is a happy number.

157753371402413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151765694539684 + 5987676862729 = 12319322^2 + 2446973^2 .

It is an emirp because it is prime and its reverse (314204173357751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157753371402413 - 2⁴ = 157753371402397 is a prime.

It is a super-2 number, since 2×157753371402413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157753371402713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78876685701206 + 78876685701207.

It is an arithmetic number, because the mean of its divisors is an integer number (78876685701207).

Almost surely, 2^{157753371402413} is an apocalyptic number.

It is an amenable number.

157753371402413 is a deficient number, since it is larger than the sum of its proper divisors (1).

157753371402413 is an equidigital number, since it uses as much as digits as its factorization.

157753371402413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7408800, while the sum is 53.

The spelling of 157753371402413 in words is "one hundred fifty-seven trillion, seven hundred fifty-three billion, three hundred seventy-one million, four hundred two thousand, four hundred thirteen".