312707117027061 has 24 divisors (see below), whose sum is σ = 457975043292416. Its totient is φ = 205570966685760.

The previous prime is 312707117027027. The next prime is 312707117027077. The reversal of 312707117027061 is 160720711707213.

312707117027061 is a `hidden beast` number, since 31 + 270 + 7 + 11 + 70 + 270 + 6 + 1 = 666.

It is not a de Polignac number, because 312707117027061 - 2²³ = 312707108638453 is a prime.

It is a super-3 number, since 3×312707117027061³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312707117026998 and 312707117027016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312707117227061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48677125 + ... + 54725466.

Almost surely, 2^{312707117027061} is an apocalyptic number.

It is an amenable number.

312707117027061 is a deficient number, since it is larger than the sum of its proper divisors (145267926265355).

312707117027061 is a wasteful number, since it uses less digits than its factorization.

312707117027061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103407273 (or 103407270 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 312707117027061 in words is "three hundred twelve trillion, seven hundred seven billion, one hundred seventeen million, twenty-seven thousand, sixty-one".