31346585089 has 2 divisors, whose sum is σ = 31346585090. Its totient is φ = 31346585088.

The previous prime is 31346585057. The next prime is 31346585117. The reversal of 31346585089 is 98058564313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18487025089 + 12859560000 = 135967^2 + 113400^2 .

It is an emirp because it is prime and its reverse (98058564313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31346585089 - 2⁵ = 31346585057 is a prime.

It is not a weakly prime, because it can be changed into another prime (31346505089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15673292544 + 15673292545.

It is an arithmetic number, because the mean of its divisors is an integer number (15673292545).

Almost surely, 2^31346585089 is an apocalyptic number.

It is an amenable number.

31346585089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31346585089 is an equidigital number, since it uses as much as digits as its factorization.

31346585089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 31346585089 in words is "thirty-one billion, three hundred forty-six million, five hundred eighty-five thousand, eighty-nine".