252130330368 has 504 divisors, whose sum is σ = 913171700448. Its totient is φ = 67793780736.

The previous prime is 252130330363. The next prime is 252130330381. The reversal of 252130330368 is 863033031252.

252130330368 is a `hidden beast` number, since 25 + 21 + 303 + 303 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252130330363) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22202580 + ... + 22213932.

It is an arithmetic number, because the mean of its divisors is an integer number (1811848612).

Almost surely, 2^252130330368 is an apocalyptic number.

252130330368 is a gapful number since it is divisible by the number (28) 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 252130330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456585850224).

252130330368 is an abundant number, since it is smaller than the sum of its proper divisors (661041370080).

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

252130330368 is an equidigital number, since it uses as much as digits as its factorization.

252130330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 252130330368 in words is "two hundred fifty-two billion, one hundred thirty million, three hundred thirty thousand, three hundred sixty-eight".