252587160 has 480 divisors, whose sum is σ = 1037860560. Its totient is φ = 54867456.

The previous prime is 252587149. The next prime is 252587171. The reversal of 252587160 is 61785252.

It is a happy number.

252587160 is a `hidden beast` number, since 2 + 525 + 8 + 71 + 60 = 666.

252587160 is digitally balanced in base 3, 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 (252587149) and next prime (252587171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5874099 + ... + 5874141.

Almost surely, 2^252587160 is an apocalyptic number.

252587160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518930280).

252587160 is an abundant number, since it is smaller than the sum of its proper divisors (785273400).

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

252587160 is a wasteful number, since it uses less digits than its factorization.

252587160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 252587160 is about 15892.9909079443. The cubic root of 252587160 is about 632.1261498437.

The spelling of 252587160 in words is "two hundred fifty-two million, five hundred eighty-seven thousand, one hundred sixty".