252280513128 has 192 divisors, whose sum is σ = 769572864000. Its totient is φ = 67496647680.

The previous prime is 252280513031. The next prime is 252280513151. The reversal of 252280513128 is 821315082252.

252280513128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 9648793 + ... + 9674903.

It is an arithmetic number, because the mean of its divisors is an integer number (4008192000).

Almost surely, 2^252280513128 is an apocalyptic number.

252280513128 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 252280513128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384786432000).

252280513128 is an abundant number, since it is smaller than the sum of its proper divisors (517292350872).

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

252280513128 is a wasteful number, since it uses less digits than its factorization.

252280513128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26360 (or 26339 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 252280513128 in words is "two hundred fifty-two billion, two hundred eighty million, five hundred thirteen thousand, one hundred twenty-eight".