161257605313 has 64 divisors (see below), whose sum is σ = 212203929600. Its totient is φ = 121781780736.

The previous prime is 161257605293. The next prime is 161257605433. The reversal of 161257605313 is 313506752161.

It is not a de Polignac number, because 161257605313 - 2²⁵ = 161224050881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161257609313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6290520 + ... + 6316102.

It is an arithmetic number, because the mean of its divisors is an integer number (3315686400).

Almost surely, 2^161257605313 is an apocalyptic number.

It is an amenable number.

161257605313 is a deficient number, since it is larger than the sum of its proper divisors (50946324287).

161257605313 is a wasteful number, since it uses less digits than its factorization.

161257605313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25691 (or 25677 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 161257605313 in words is "one hundred sixty-one billion, two hundred fifty-seven million, six hundred five thousand, three hundred thirteen".