252543243312 has 320 divisors, whose sum is σ = 781278566400. Its totient is φ = 77853726720.

The previous prime is 252543243263. The next prime is 252543243343. The reversal of 252543243312 is 213342345252.

252543243312 is a `hidden beast` number, since 2 + 52 + 54 + 3 + 243 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238023262 + ... + 238024322.

It is an arithmetic number, because the mean of its divisors is an integer number (2441495520).

Almost surely, 2^252543243312 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 252543243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390639283200).

252543243312 is an abundant number, since it is smaller than the sum of its proper divisors (528735323088).

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

252543243312 is a wasteful number, since it uses less digits than its factorization.

252543243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 252543243312 its reverse (213342345252), we get a palindrome (465885588564).

The spelling of 252543243312 in words is "two hundred fifty-two billion, five hundred forty-three million, two hundred forty-three thousand, three hundred twelve".