253566303665352 has 32 divisors (see below), whose sum is σ = 633923573474880. Its totient is φ = 84521059313600.

The previous prime is 253566303665321. The next prime is 253566303665371.

253566303665352 is nontrivially palindromic in base 10.

253566303665352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253566303665352² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63130524 + ... + 67026827.

It is an arithmetic number, because the mean of its divisors is an integer number (19810111671090).

Almost surely, 2^{253566303665352} is an apocalyptic number.

It is an amenable number.

253566303665352 is an abundant number, since it is smaller than the sum of its proper divisors (380357269809528).

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

253566303665352 is a wasteful number, since it uses less digits than its factorization.

253566303665352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130238533 (or 130238529 counting only the distinct ones).

The product of its (nonzero) digits is 262440000, while the sum is 60.

The spelling of 253566303665352 in words is "two hundred fifty-three trillion, five hundred sixty-six billion, three hundred three million, six hundred sixty-five thousand, three hundred fifty-two".