252175168 has 84 divisors (see below), whose sum is σ = 588820260. Its totient is φ = 106831872.

The previous prime is 252175153. The next prime is 252175193. The reversal of 252175168 is 861571252.

It can be written as a sum of positive squares in 2 ways, for example, as 129231424 + 122943744 = 11368^2 + 11088^2 .

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 11 ways as a sum of consecutive naturals, for example, 303778 + ... + 304606.

It is an arithmetic number, because the mean of its divisors is an integer number (7009765).

Almost surely, 2^252175168 is an apocalyptic number.

252175168 is a gapful number since it is divisible by the number (28) 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 252175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294410130).

252175168 is an abundant number, since it is smaller than the sum of its proper divisors (336645092).

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

252175168 is an equidigital number, since it uses as much as digits as its factorization.

252175168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 252175168 is about 15880.0241813418. The cubic root of 252175168 is about 631.7822782596.

The spelling of 252175168 in words is "two hundred fifty-two million, one hundred seventy-five thousand, one hundred sixty-eight".