312551277007721 has 2 divisors, whose sum is σ = 312551277007722. Its totient is φ = 312551277007720.

The previous prime is 312551277007687. The next prime is 312551277007793. The reversal of 312551277007721 is 127700772155213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281421963204496 + 31129313803225 = 16775636^2 + 5579365^2 .

It is a cyclic number.

It is not a de Polignac number, because 312551277007721 - 2¹⁰ = 312551277006697 is a prime.

It is a super-2 number, since 2×312551277007721² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312551277007721.

It is not a weakly prime, because it can be changed into another prime (312551277006721) 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 as a sum of consecutive naturals, namely, 156275638503860 + 156275638503861.

It is an arithmetic number, because the mean of its divisors is an integer number (156275638503861).

Almost surely, 2^{312551277007721} is an apocalyptic number.

It is an amenable number.

312551277007721 is a deficient number, since it is larger than the sum of its proper divisors (1).

312551277007721 is an equidigital number, since it uses as much as digits as its factorization.

312551277007721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440600, while the sum is 50.

The spelling of 312551277007721 in words is "three hundred twelve trillion, five hundred fifty-one billion, two hundred seventy-seven million, seven thousand, seven hundred twenty-one".