161352253161 has 48 divisors (see below), whose sum is σ = 262233324288. Its totient is φ = 94760736000.

The previous prime is 161352253157. The next prime is 161352253189.

161352253161 is a `hidden beast` number, since 1 + 6 + 13 + 52 + 2 + 531 + 61 = 666.

161352253161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 161352253161 - 2² = 161352253157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (161352253961) 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 in 47 ways as a sum of consecutive naturals, for example, 298285 + ... + 641621.

It is an arithmetic number, because the mean of its divisors is an integer number (5463194256).

Almost surely, 2^161352253161 is an apocalyptic number.

161352253161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161352253161 is a deficient number, since it is larger than the sum of its proper divisors (100881071127).

161352253161 is a wasteful number, since it uses less digits than its factorization.

161352253161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343502 (or 343499 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 161352253161 in words is "one hundred sixty-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred sixty-one".