252220430052 has 108 divisors (see below), whose sum is σ = 648061808940. Its totient is φ = 82704190464.

The previous prime is 252220430027. The next prime is 252220430093. The reversal of 252220430052 is 250034022252.

252220430052 is a `hidden beast` number, since 2 + 5 + 2 + 220 + 430 + 0 + 5 + 2 = 666.

252220430052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56100764736 + 196119665316 = 236856^2 + 442854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252220429998 and 252220430025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78596224 + ... + 78599432.

It is an arithmetic number, because the mean of its divisors is an integer number (6000572305).

Almost surely, 2^252220430052 is an apocalyptic number.

It is an amenable number.

252220430052 is an abundant number, since it is smaller than the sum of its proper divisors (395841378888).

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

252220430052 is a wasteful number, since it uses less digits than its factorization.

252220430052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 252220430052 in words is "two hundred fifty-two billion, two hundred twenty million, four hundred thirty thousand, fifty-two".