165731125252 has 96 divisors (see below), whose sum is σ = 374262819840. Its totient is φ = 62310864000.

The previous prime is 165731125249. The next prime is 165731125279. The reversal of 165731125252 is 252521137561.

It is a super-2 number, since 2×165731125252² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22603227 + ... + 22610557.

It is an arithmetic number, because the mean of its divisors is an integer number (3898571040).

Almost surely, 2^165731125252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165731125252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187131409920).

165731125252 is an abundant number, since it is smaller than the sum of its proper divisors (208531694588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165731125252 is a wasteful number, since it uses less digits than its factorization.

165731125252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9911 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The spelling of 165731125252 in words is "one hundred sixty-five billion, seven hundred thirty-one million, one hundred twenty-five thousand, two hundred fifty-two".