252534120 has 64 divisors (see below), whose sum is σ = 761080320. Its totient is φ = 67033344.

The previous prime is 252534109. The next prime is 252534151. The reversal of 252534120 is 21435252.

252534120 is digitally balanced in base 3, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22042 + ... + 31478.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^252534120 is an apocalyptic number.

252534120 is a gapful number since it is divisible by the number (20) 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 252534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

252534120 is an abundant number, since it is smaller than the sum of its proper divisors (508546200).

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

252534120 is a wasteful number, since it uses less digits than its factorization.

252534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252534120 is about 15891.3221602232. The cubic root of 252534120 is about 632.0819006716.

Adding to 252534120 its reverse (21435252), we get a palindrome (273969372).

The spelling of 252534120 in words is "two hundred fifty-two million, five hundred thirty-four thousand, one hundred twenty".