252553141888 has 64 divisors (see below), whose sum is σ = 514538853120. Its totient is φ = 123421312000.

The previous prime is 252553141861. The next prime is 252553141903. The reversal of 252553141888 is 888141355252.

It is a happy number.

252553141888 is digitally balanced in base 2, 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 4441638 + ... + 4498138.

It is an arithmetic number, because the mean of its divisors is an integer number (8039669580).

Almost surely, 2^252553141888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252553141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257269426560).

252553141888 is an abundant number, since it is smaller than the sum of its proper divisors (261985711232).

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

252553141888 is an equidigital number, since it uses as much as digits as its factorization.

252553141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57305 (or 57293 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 52.

The spelling of 252553141888 in words is "two hundred fifty-two billion, five hundred fifty-three million, one hundred forty-one thousand, eight hundred eighty-eight".