252961337520 has 240 divisors, whose sum is σ = 873661082112. Its totient is φ = 65553039360.

The previous prime is 252961337477. The next prime is 252961337521. The reversal of 252961337520 is 25733169252.

252961337520 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 613 + 3 + 7 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252961337521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7569969 + ... + 7603311.

Almost surely, 2^252961337520 is an apocalyptic number.

252961337520 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 252961337520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436830541056).

252961337520 is an abundant number, since it is smaller than the sum of its proper divisors (620699744592).

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

252961337520 is a wasteful number, since it uses less digits than its factorization.

252961337520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33651 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 252961337520 in words is "two hundred fifty-two billion, nine hundred sixty-one million, three hundred thirty-seven thousand, five hundred twenty".