313053511761 has 96 divisors (see below), whose sum is σ = 496316620800. Its totient is φ = 189475614720.

The previous prime is 313053511759. The next prime is 313053511781. The reversal of 313053511761 is 167115350313.

313053511761 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 535 + 117 + 6 + 1 = 666.

It is not a de Polignac number, because 313053511761 - 2¹ = 313053511759 is a prime.

It is a super-2 number, since 2×313053511761² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313053511711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116418705 + ... + 116421393.

It is an arithmetic number, because the mean of its divisors is an integer number (5169964800).

Almost surely, 2^313053511761 is an apocalyptic number.

It is an amenable number.

313053511761 is a deficient number, since it is larger than the sum of its proper divisors (183263109039).

313053511761 is a wasteful number, since it uses less digits than its factorization.

313053511761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 313053511761 in words is "three hundred thirteen billion, fifty-three million, five hundred eleven thousand, seven hundred sixty-one".