312563984433229 has 2 divisors, whose sum is σ = 312563984433230. Its totient is φ = 312563984433228.

The previous prime is 312563984433209. The next prime is 312563984433319. The reversal of 312563984433229 is 922334489365213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300831749628004 + 11732234805225 = 17344502^2 + 3425235^2 .

It is a cyclic number.

It is not a de Polignac number, because 312563984433229 - 2²⁷ = 312563850215501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312563984433209) 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, 156281992216614 + 156281992216615.

It is an arithmetic number, because the mean of its divisors is an integer number (156281992216615).

Almost surely, 2^{312563984433229} is an apocalyptic number.

It is an amenable number.

312563984433229 is a deficient number, since it is larger than the sum of its proper divisors (1).

312563984433229 is an equidigital number, since it uses as much as digits as its factorization.

312563984433229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201553920, while the sum is 64.

The spelling of 312563984433229 in words is "three hundred twelve trillion, five hundred sixty-three billion, nine hundred eighty-four million, four hundred thirty-three thousand, two hundred twenty-nine".