312414200324249 has 2 divisors, whose sum is σ = 312414200324250. Its totient is φ = 312414200324248.

The previous prime is 312414200324209. The next prime is 312414200324263. The reversal of 312414200324249 is 942423002414213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310122912634249 + 2291287690000 = 17610307^2 + 1513700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312414200324249 is a prime.

It is not a weakly prime, because it can be changed into another prime (312414200324209) 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, 156207100162124 + 156207100162125.

It is an arithmetic number, because the mean of its divisors is an integer number (156207100162125).

Almost surely, 2^{312414200324249} is an apocalyptic number.

It is an amenable number.

312414200324249 is a deficient number, since it is larger than the sum of its proper divisors (1).

312414200324249 is an equidigital number, since it uses as much as digits as its factorization.

312414200324249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 312414200324249 in words is "three hundred twelve trillion, four hundred fourteen billion, two hundred million, three hundred twenty-four thousand, two hundred forty-nine".