312551207660233 has 2 divisors, whose sum is σ = 312551207660234. Its totient is φ = 312551207660232.

The previous prime is 312551207660149. The next prime is 312551207660243. The reversal of 312551207660233 is 332066702155213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296116915970304 + 16434291689929 = 17208048^2 + 4053923^2 .

It is a cyclic number.

It is not a de Polignac number, because 312551207660233 - 2³³ = 312542617725641 is a prime.

It is a super-2 number, since 2×312551207660233² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312551207660243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156275603830116 + 156275603830117.

It is an arithmetic number, because the mean of its divisors is an integer number (156275603830117).

Almost surely, 2^{312551207660233} is an apocalyptic number.

It is an amenable number.

312551207660233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312551207660233 is an equidigital number, since it uses as much as digits as its factorization.

312551207660233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 312551207660233 in words is "three hundred twelve trillion, five hundred fifty-one billion, two hundred seven million, six hundred sixty thousand, two hundred thirty-three".