312401144242289 has 2 divisors, whose sum is σ = 312401144242290. Its totient is φ = 312401144242288.

The previous prime is 312401144242259. The next prime is 312401144242349. The reversal of 312401144242289 is 982242441104213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169213475371264 + 143187668871025 = 13008208^2 + 11966105^2 .

It is an emirp because it is prime and its reverse (982242441104213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312401144242289 is a prime.

It is not a weakly prime, because it can be changed into another prime (312401144242259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200572121144 + 156200572121145.

It is an arithmetic number, because the mean of its divisors is an integer number (156200572121145).

Almost surely, 2^{312401144242289} is an apocalyptic number.

It is an amenable number.

312401144242289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401144242289 is an equidigital number, since it uses as much as digits as its factorization.

312401144242289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 312401144242289 in words is "three hundred twelve trillion, four hundred one billion, one hundred forty-four million, two hundred forty-two thousand, two hundred eighty-nine".