252354525453252 has 192 divisors, whose sum is σ = 657216420537600. Its totient is φ = 83738196541440.

The previous prime is 252354525453211. The next prime is 252354525453257.

252354525453252 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 5 + 4 + 5 + 2 + 54 + 532 + 52 = 666.

252354525453252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252354525453257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53363187624 + ... + 53363192352.

It is an arithmetic number, because the mean of its divisors is an integer number (3423002190300).

Almost surely, 2^{252354525453252} is an apocalyptic number.

It is an amenable number.

252354525453252 is an abundant number, since it is smaller than the sum of its proper divisors (404861895084348).

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

252354525453252 is a wasteful number, since it uses less digits than its factorization.

252354525453252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7515 counting only the distinct ones).

The product of its digits is 72000000, while the sum is 54.

The spelling of 252354525453252 in words is "two hundred fifty-two trillion, three hundred fifty-four billion, five hundred twenty-five million, four hundred fifty-three thousand, two hundred fifty-two".