252567160 has 32 divisors (see below), whose sum is σ = 569409840. Its totient is φ = 100825344.

The previous prime is 252567149. The next prime is 252567167. The reversal of 252567160 is 61765252.

It is a super-3 number, since 3×252567160³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252567167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14884 + ... + 26956.

Almost surely, 2^252567160 is an apocalyptic number.

252567160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252567160 is an abundant number, since it is smaller than the sum of its proper divisors (316842680).

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

252567160 is a wasteful number, since it uses less digits than its factorization.

252567160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 252567160 is about 15892.3616873012. The cubic root of 252567160 is about 632.1094653631.

The spelling of 252567160 in words is "two hundred fifty-two million, five hundred sixty-seven thousand, one hundred sixty".