252546372 has 36 divisors (see below), whose sum is σ = 687488620. Its totient is φ = 77706432.

The previous prime is 252546337. The next prime is 252546377. The reversal of 252546372 is 273645252.

252546372 is a `hidden beast` number, since 2 + 525 + 4 + 63 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131194116 + 121352256 = 11454^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (252546377) by changing a digit.

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, 269347 + ... + 270282.

Almost surely, 2^252546372 is an apocalyptic number.

It is an amenable number.

252546372 is an abundant number, since it is smaller than the sum of its proper divisors (434942248).

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

252546372 is a wasteful number, since it uses less digits than its factorization.

252546372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539652 (or 539647 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 252546372 is about 15891.7076489596. The cubic root of 252546372 is about 632.0921225804.

It can be divided in two parts, 25254 and 6372, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 252546372 in words is "two hundred fifty-two million, five hundred forty-six thousand, three hundred seventy-two".