312332222400953 has 2 divisors, whose sum is σ = 312332222400954. Its totient is φ = 312332222400952.

The previous prime is 312332222400883. The next prime is 312332222400973. The reversal of 312332222400953 is 359004222233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223132282137769 + 89199940263184 = 14937613^2 + 9444572^2 .

It is a cyclic number.

It is not a de Polignac number, because 312332222400953 - 2³² = 312327927433657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312332222400953.

It is not a weakly prime, because it can be changed into another prime (312332222400973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166111200476 + 156166111200477.

It is an arithmetic number, because the mean of its divisors is an integer number (156166111200477).

Almost surely, 2^{312332222400953} is an apocalyptic number.

It is an amenable number.

312332222400953 is a deficient number, since it is larger than the sum of its proper divisors (1).

312332222400953 is an equidigital number, since it uses as much as digits as its factorization.

312332222400953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 312332222400953 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred twenty-two million, four hundred thousand, nine hundred fifty-three".