312463008017 has 2 divisors, whose sum is σ = 312463008018. Its totient is φ = 312463008016.

The previous prime is 312463007953. The next prime is 312463008041. The reversal of 312463008017 is 710800364213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309003686161 + 3459321856 = 555881^2 + 58816^2 .

It is a cyclic number.

It is not a de Polignac number, because 312463008017 - 2⁶ = 312463007953 is a prime.

It is not a weakly prime, because it can be changed into another prime (312463008097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156231504008 + 156231504009.

It is an arithmetic number, because the mean of its divisors is an integer number (156231504009).

Almost surely, 2^312463008017 is an apocalyptic number.

It is an amenable number.

312463008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

312463008017 is an equidigital number, since it uses as much as digits as its factorization.

312463008017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 312463008017 in words is "three hundred twelve billion, four hundred sixty-three million, eight thousand, seventeen".