252516880 has 80 divisors (see below), whose sum is σ = 731988864. Its totient is φ = 78704640.

The previous prime is 252516877. The next prime is 252516889. The reversal of 252516880 is 88615252.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (252516889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14337 + ... + 26656.

Almost surely, 2^252516880 is an apocalyptic number.

252516880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252516880 is an abundant number, since it is smaller than the sum of its proper divisors (479471984).

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

252516880 is a wasteful number, since it uses less digits than its factorization.

252516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41024 (or 41018 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 252516880 is about 15890.7797165526. The cubic root of 252516880 is about 632.0675166880.

It can be divided in two parts, 25251 and 6880, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 252516880 in words is "two hundred fifty-two million, five hundred sixteen thousand, eight hundred eighty".