252538255872 has 320 divisors, whose sum is σ = 856856943360. Its totient is φ = 71939653632.

The previous prime is 252538255861. The next prime is 252538255873. The reversal of 252538255872 is 278552835252.

It is a happy number.

252538255872 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 3 + 82 + 558 + 7 + 2 = 666.

252538255872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252538255873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34155408 + ... + 34162800.

It is an arithmetic number, because the mean of its divisors is an integer number (2677677948).

Almost surely, 2^252538255872 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 252538255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428428471680).

252538255872 is an abundant number, since it is smaller than the sum of its proper divisors (604318687488).

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

252538255872 is an equidigital number, since it uses as much as digits as its factorization.

252538255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 7758 counting only the distinct ones).

The product of its digits is 13440000, while the sum is 54.

The spelling of 252538255872 in words is "two hundred fifty-two billion, five hundred thirty-eight million, two hundred fifty-five thousand, eight hundred seventy-two".