312343004032289 has 2 divisors, whose sum is σ = 312343004032290. Its totient is φ = 312343004032288.

The previous prime is 312343004032273. The next prime is 312343004032331. The reversal of 312343004032289 is 982230400343213.

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., 262762154803600 + 49580849228689 = 16209940^2 + 7041367^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343004032289 - 2⁴ = 312343004032273 is a prime.

It is not a weakly prime, because it can be changed into another prime (312343004035289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156171502016144 + 156171502016145.

It is an arithmetic number, because the mean of its divisors is an integer number (156171502016145).

Almost surely, 2^{312343004032289} is an apocalyptic number.

It is an amenable number.

312343004032289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312343004032289 is an equidigital number, since it uses as much as digits as its factorization.

312343004032289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 312343004032289 in words is "three hundred twelve trillion, three hundred forty-three billion, four million, thirty-two thousand, two hundred eighty-nine".