253166727661352 has 64 divisors (see below), whose sum is σ = 486099412081920. Its totient is φ = 123580852374528.

The previous prime is 253166727661297. The next prime is 253166727661361.

253166727661352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23203313 + ... + 32322239.

It is an arithmetic number, because the mean of its divisors is an integer number (7595303313780).

Almost surely, 2^{253166727661352} is an apocalyptic number.

It is an amenable number.

253166727661352 is a deficient number, since it is larger than the sum of its proper divisors (232932684420568).

253166727661352 is a wasteful number, since it uses less digits than its factorization.

253166727661352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119490 (or 9119486 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 62.

The spelling of 253166727661352 in words is "two hundred fifty-three trillion, one hundred sixty-six billion, seven hundred twenty-seven million, six hundred sixty-one thousand, three hundred fifty-two".