85964583313369 has 2 divisors, whose sum is σ = 85964583313370. Its totient is φ = 85964583313368.

The previous prime is 85964583313337. The next prime is 85964583313397. The reversal of 85964583313369 is 96331338546958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85942392742144 + 22190571225 = 9270512^2 + 148965^2 .

It is a cyclic number.

It is not a de Polignac number, because 85964583313369 - 2⁵ = 85964583313337 is a prime.

It is a super-2 number, since 2×85964583313369² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85964583343369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42982291656684 + 42982291656685.

It is an arithmetic number, because the mean of its divisors is an integer number (42982291656685).

Almost surely, 2^{85964583313369} is an apocalyptic number.

It is an amenable number.

85964583313369 is a deficient number, since it is larger than the sum of its proper divisors (1).

85964583313369 is an equidigital number, since it uses as much as digits as its factorization.

85964583313369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1511654400, while the sum is 73.

The spelling of 85964583313369 in words is "eighty-five trillion, nine hundred sixty-four billion, five hundred eighty-three million, three hundred thirteen thousand, three hundred sixty-nine".