312846903001 has 2 divisors, whose sum is σ = 312846903002. Its totient is φ = 312846903000.

The previous prime is 312846902923. The next prime is 312846903037. The reversal of 312846903001 is 100309648213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312619647376 + 227255625 = 559124^2 + 15075^2 .

It is an emirp because it is prime and its reverse (100309648213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312846903001 - 2¹⁷ = 312846771929 is a prime.

It is not a weakly prime, because it can be changed into another prime (312846903041) 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, 156423451500 + 156423451501.

It is an arithmetic number, because the mean of its divisors is an integer number (156423451501).

Almost surely, 2^312846903001 is an apocalyptic number.

It is an amenable number.

312846903001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312846903001 is an equidigital number, since it uses as much as digits as its factorization.

312846903001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 312846903001 in words is "three hundred twelve billion, eight hundred forty-six million, nine hundred three thousand, one".