312551277007717 has 32 divisors (see below), whose sum is σ = 356873564880000. Its totient is φ = 271237230105600.

The previous prime is 312551277007687. The next prime is 312551277007721. The reversal of 312551277007717 is 717700772155213.

It is a de Polignac number, because none of the positive numbers 2^k-312551277007717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312551277008717) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30207592 + ... + 39212257.

It is an arithmetic number, because the mean of its divisors is an integer number (11152298902500).

Almost surely, 2^{312551277007717} is an apocalyptic number.

It is an amenable number.

312551277007717 is a deficient number, since it is larger than the sum of its proper divisors (44322287872283).

312551277007717 is a wasteful number, since it uses less digits than its factorization.

312551277007717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69420117.

The product of its (nonzero) digits is 5042100, while the sum is 55.

The spelling of 312551277007717 in words is "three hundred twelve trillion, five hundred fifty-one billion, two hundred seventy-seven million, seven thousand, seven hundred seventeen".