252151433120 has 48 divisors (see below), whose sum is σ = 597367249920. Its totient is φ = 100579601664.

The previous prime is 252151433099. The next prime is 252151433161. The reversal of 252151433120 is 21334151252.

252151433120 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 7 ways as a sum of consecutive naturals, for example, 2137472 + ... + 2252351.

It is an arithmetic number, because the mean of its divisors is an integer number (12445151040).

Almost surely, 2^252151433120 is an apocalyptic number.

252151433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252151433120 is an abundant number, since it is smaller than the sum of its proper divisors (345215816800).

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

252151433120 is a wasteful number, since it uses less digits than its factorization.

252151433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390197 (or 4390189 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 252151433120 its reverse (21334151252), we get a palindrome (273485584372).

The spelling of 252151433120 in words is "two hundred fifty-two billion, one hundred fifty-one million, four hundred thirty-three thousand, one hundred twenty".