252737003520 has 560 divisors, whose sum is σ = 959565023208. Its totient is φ = 63417876480.

The previous prime is 252737003513. The next prime is 252737003549. The reversal of 252737003520 is 25300737252.

252737003520 is a `hidden beast` number, since 252 + 7 + 370 + 0 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245952516096 + 6784487424 = 495936^2 + 82368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 56399680 + ... + 56404160.

Almost surely, 2^252737003520 is an apocalyptic number.

252737003520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252737003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479782511604).

252737003520 is an abundant number, since it is smaller than the sum of its proper divisors (706828019688).

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

252737003520 is an equidigital number, since it uses as much as digits as its factorization.

252737003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 252737003520 in words is "two hundred fifty-two billion, seven hundred thirty-seven million, three thousand, five hundred twenty".