252932699520 has 160 divisors (see below), whose sum is σ = 903268523520. Its totient is φ = 67448706048.

The previous prime is 252932699519. The next prime is 252932699527. The reversal of 252932699520 is 25996239252.

252932699520 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 3 + 26 + 99 + 520 = 666.

252932699520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252932699527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2387712 + ... + 2491391.

It is an arithmetic number, because the mean of its divisors is an integer number (5645428272).

Almost surely, 2^252932699520 is an apocalyptic number.

252932699520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252932699520 is an abundant number, since it is smaller than the sum of its proper divisors (650335824000).

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

252932699520 is an equidigital number, since it uses as much as digits as its factorization.

252932699520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879134 (or 4879113 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 252932699520 in words is "two hundred fifty-two billion, nine hundred thirty-two million, six hundred ninety-nine thousand, five hundred twenty".