252133053120 has 336 divisors, whose sum is σ = 946746851232. Its totient is φ = 61212672000.

The previous prime is 252133053059. The next prime is 252133053127. The reversal of 252133053120 is 21350331252.

It is a happy number.

252133053120 is a `hidden beast` number, since 25 + 21 + 3 + 305 + 312 + 0 = 666.

It is a super-2 number, since 2×252133053120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252133053127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2686995 + ... + 2779245.

It is an arithmetic number, because the mean of its divisors is an integer number (2817698962).

Almost surely, 2^252133053120 is an apocalyptic number.

252133053120 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 252133053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473373425616).

252133053120 is an abundant number, since it is smaller than the sum of its proper divisors (694613798112).

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

252133053120 is a wasteful number, since it uses less digits than its factorization.

252133053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92360 (or 92347 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 252133053120 its reverse (21350331252), we get a palindrome (273483384372).

The spelling of 252133053120 in words is "two hundred fifty-two billion, one hundred thirty-three million, fifty-three thousand, one hundred twenty".