310964090089 has 2 divisors, whose sum is σ = 310964090090. Its totient is φ = 310964090088.

The previous prime is 310964090051. The next prime is 310964090093. The reversal of 310964090089 is 980090469013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305167856400 + 5796233689 = 552420^2 + 76133^2 .

It is an emirp because it is prime and its reverse (980090469013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310964090089 - 2¹⁵ = 310964057321 is a prime.

It is not a weakly prime, because it can be changed into another prime (310964090009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155482045044 + 155482045045.

It is an arithmetic number, because the mean of its divisors is an integer number (155482045045).

Almost surely, 2^310964090089 is an apocalyptic number.

It is an amenable number.

310964090089 is a deficient number, since it is larger than the sum of its proper divisors (1).

310964090089 is an equidigital number, since it uses as much as digits as its factorization.

310964090089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 49.

The spelling of 310964090089 in words is "three hundred ten billion, nine hundred sixty-four million, ninety thousand, eighty-nine".