252433895184 has 135 divisors (see below), whose sum is σ = 713777598079. Its totient is φ = 83282465280.

The previous prime is 252433895167. The next prime is 252433895191. The reversal of 252433895184 is 481598334252.

The square root of 252433895184 is 502428.

It is a perfect power (a square), and thus also a powerful number.

252433895184 is a `hidden beast` number, since 2 + 5 + 2 + 43 + 3 + 89 + 518 + 4 = 666.

252433895184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16237895184 + 236196000000 = 127428^2 + 486000^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252433895184.

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 26 ways as a sum of consecutive naturals, for example, 898341124 + ... + 898341404.

Almost surely, 2^252433895184 is an apocalyptic number.

252433895184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

252433895184 is the 502428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252433895184

252433895184 is an abundant number, since it is smaller than the sum of its proper divisors (461343702895).

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

252433895184 is an equidigital number, since it uses as much as digits as its factorization.

252433895184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 435 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 252433895184 in words is "two hundred fifty-two billion, four hundred thirty-three million, eight hundred ninety-five thousand, one hundred eighty-four".