157957952013 has 40 divisors (see below), whose sum is σ = 239603386880. Its totient is φ = 103687477920.

The previous prime is 157957951997. The next prime is 157957952039. The reversal of 157957952013 is 310259759751.

157957952013 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 579 + 52 + 0 + 13 = 666.

It is not a de Polignac number, because 157957952013 - 2⁴ = 157957951997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157957952093) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2314803 + ... + 2382063.

It is an arithmetic number, because the mean of its divisors is an integer number (5990084672).

Almost surely, 2^157957952013 is an apocalyptic number.

It is an amenable number.

157957952013 is a deficient number, since it is larger than the sum of its proper divisors (81645434867).

157957952013 is an equidigital number, since it uses as much as digits as its factorization.

157957952013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67719 (or 67710 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 157957952013 in words is "one hundred fifty-seven billion, nine hundred fifty-seven million, nine hundred fifty-two thousand, thirteen".