252328823252 has 48 divisors (see below), whose sum is σ = 510719489280. Its totient is φ = 107807539200.

The previous prime is 252328823251. The next prime is 252328823309.

252328823252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252328823251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355877 + ... + 794547.

It is an arithmetic number, because the mean of its divisors is an integer number (10639989360).

Almost surely, 2^252328823252 is an apocalyptic number.

252328823252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252328823252 is an abundant number, since it is smaller than the sum of its proper divisors (258390666028).

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

252328823252 is a wasteful number, since it uses less digits than its factorization.

252328823252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439472 (or 439470 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 252328823252 in words is "two hundred fifty-two billion, three hundred twenty-eight million, eight hundred twenty-three thousand, two hundred fifty-two".