252879165 has 224 divisors, whose sum is σ = 611940096. Its totient is φ = 97044480.

The previous prime is 252879161. The next prime is 252879169. The reversal of 252879165 is 561978252.

252879165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252879161) and next prime (252879169).

It is not a de Polignac number, because 252879165 - 2² = 252879161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (302400) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 252879165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252879161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4771279 + ... + 4771331.

Almost surely, 2^252879165 is an apocalyptic number.

It is an amenable number.

252879165 is an abundant number, since it is smaller than the sum of its proper divisors (359060931).

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

252879165 is a wasteful number, since it uses less digits than its factorization.

252879165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 252879165 is about 15902.1748512586. The cubic root of 252879165 is about 632.3696471935.

The spelling of 252879165 in words is "two hundred fifty-two million, eight hundred seventy-nine thousand, one hundred sixty-five".