252054504 has 80 divisors (see below), whose sum is σ = 760318020. Its totient is φ = 77552640.

The previous prime is 252054421. The next prime is 252054533. The reversal of 252054504 is 405450252.

252054504 is a `hidden beast` number, since 2 + 5 + 205 + 450 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 248062500 + 3992004 = 15750^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 6537 + ... + 23384.

Almost surely, 2^252054504 is an apocalyptic number.

252054504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252054504 is an abundant number, since it is smaller than the sum of its proper divisors (508263516).

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

252054504 is a wasteful number, since it uses less digits than its factorization.

252054504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29952 (or 29939 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252054504 is about 15876.2244882088. The cubic root of 252054504 is about 631.6814944279.

The spelling of 252054504 in words is "two hundred fifty-two million, fifty-four thousand, five hundred four".