252519520 has 48 divisors (see below), whose sum is σ = 650816208. Its totient is φ = 91824640.

The previous prime is 252519517. The next prime is 252519541. The reversal of 252519520 is 25915252.

It is a super-2 number, since 2×252519520² = 127532215962060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69979 + ... + 73498.

It is an arithmetic number, because the mean of its divisors is an integer number (13558671).

Almost surely, 2^252519520 is an apocalyptic number.

252519520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252519520 is an abundant number, since it is smaller than the sum of its proper divisors (398296688).

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

252519520 is a wasteful number, since it uses less digits than its factorization.

252519520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143503 (or 143495 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 252519520 is about 15890.8627833733. The cubic root of 252519520 is about 632.0697193822.

The spelling of 252519520 in words is "two hundred fifty-two million, five hundred nineteen thousand, five hundred twenty".