252282933792 has 162 divisors, whose sum is σ = 762551785359. Its totient is φ = 79102126080.

The previous prime is 252282933781. The next prime is 252282933797. The reversal of 252282933792 is 297339282252.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252282933792 is a `hidden beast` number, since 2 + 522 + 8 + 29 + 3 + 3 + 7 + 92 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 26388053136 + 225894880656 = 162444^2 + 475284^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355164.

It is not an unprimeable number, because it can be changed into a prime (252282933797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144906042 + ... + 144907782.

Almost surely, 2^252282933792 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 252282933792

252282933792 is an abundant number, since it is smaller than the sum of its proper divisors (510268851567).

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

252282933792 is an equidigital number, since it uses as much as digits as its factorization.

252282933792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 1763 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 252282933792 in words is "two hundred fifty-two billion, two hundred eighty-two million, nine hundred thirty-three thousand, seven hundred ninety-two".