311256056165041 has 16 divisors (see below), whose sum is σ = 336331488648400. Its totient is φ = 286342769157120.

The previous prime is 311256056165023. The next prime is 311256056165059. The reversal of 311256056165041 is 140561650652113.

It is an interprime number because it is at equal distance from previous prime (311256056165023) and next prime (311256056165059).

It can be written as a sum of positive squares in 8 ways, for example, as 216277465640625 + 94978590524416 = 14706375^2 + 9745696^2 .

It is a de Polignac number, because none of the positive numbers 2^k-311256056165041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311256056164982 and 311256056165000.

It is not an unprimeable number, because it can be changed into a prime (311256056135041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15152851 + ... + 29191111.

It is an arithmetic number, because the mean of its divisors is an integer number (21020718040525).

Almost surely, 2^{311256056165041} is an apocalyptic number.

It is an amenable number.

311256056165041 is a deficient number, since it is larger than the sum of its proper divisors (25075432483359).

311256056165041 is a wasteful number, since it uses less digits than its factorization.

311256056165041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044036.

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 311256056165041 in words is "three hundred eleven trillion, two hundred fifty-six billion, fifty-six million, one hundred sixty-five thousand, forty-one".