252005505520544 has 96 divisors (see below), whose sum is σ = 522547947532800. Its totient is φ = 119302545703680.

The previous prime is 252005505520541. The next prime is 252005505520567. The reversal of 252005505520544 is 445025505500252.

It is a junction number, because it is equal to n+sod(n) for n = 252005505520495 and 252005505520504.

It is not an unprimeable number, because it can be changed into a prime (252005505520541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11018549429 + ... + 11018572299.

It is an arithmetic number, because the mean of its divisors is an integer number (5443207786800).

Almost surely, 2^{252005505520544} is an apocalyptic number.

It is an amenable number.

252005505520544 is an abundant number, since it is smaller than the sum of its proper divisors (270542442012256).

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

252005505520544 is a wasteful number, since it uses less digits than its factorization.

252005505520544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32506 (or 32498 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 44.

The spelling of 252005505520544 in words is "two hundred fifty-two trillion, five billion, five hundred five million, five hundred twenty thousand, five hundred forty-four".