252516947520 has 56 divisors (see below), whose sum is σ = 801741311424. Its totient is φ = 67337852416.

The previous prime is 252516947489. The next prime is 252516947531. The reversal of 252516947520 is 25749615252.

252516947520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252516947520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131518284 + ... + 131520203.

Almost surely, 2^252516947520 is an apocalyptic number.

252516947520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252516947520 is an abundant number, since it is smaller than the sum of its proper divisors (549224363904).

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

252516947520 is a wasteful number, since it uses less digits than its factorization.

252516947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263038507 (or 263038497 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 252516947520 in words is "two hundred fifty-two billion, five hundred sixteen million, nine hundred forty-seven thousand, five hundred twenty".