253313686313352 has 128 divisors (see below), whose sum is σ = 851474575929600. Its totient is φ = 68117966060544.

The previous prime is 253313686313279. The next prime is 253313686313383.

253313686313352 is a `hidden beast` number, since 2 + 5 + 3 + 313 + 6 + 8 + 6 + 313 + 3 + 5 + 2 = 666.

253313686313352 is nontrivially palindromic in base 10.

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

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 31 ways as a sum of consecutive naturals, for example, 4927489203 + ... + 4927540610.

It is an arithmetic number, because the mean of its divisors is an integer number (6652145124450).

Almost surely, 2^{253313686313352} is an apocalyptic number.

It is an amenable number.

253313686313352 is an abundant number, since it is smaller than the sum of its proper divisors (598160889616248).

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

253313686313352 is a wasteful number, since it uses less digits than its factorization.

253313686313352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855029852 (or 9855029842 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 253313686313352 in words is "two hundred fifty-three trillion, three hundred thirteen billion, six hundred eighty-six million, three hundred thirteen thousand, three hundred fifty-two".