252561165252 has 48 divisors (see below), whose sum is σ = 676718918400. Its totient is φ = 72505596960.

The previous prime is 252561165251. The next prime is 252561165319.

It is a happy number.

252561165252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (252561165251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50348602 + ... + 50353617.

It is an arithmetic number, because the mean of its divisors is an integer number (14098310800).

Almost surely, 2^252561165252 is an apocalyptic number.

252561165252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252561165252 is an abundant number, since it is smaller than the sum of its proper divisors (424157753148).

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

252561165252 is a wasteful number, since it uses less digits than its factorization.

252561165252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100702256 (or 100702254 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 252561165252 in words is "two hundred fifty-two billion, five hundred sixty-one million, one hundred sixty-five thousand, two hundred fifty-two".