85865304567817 has 2 divisors, whose sum is σ = 85865304567818. Its totient is φ = 85865304567816.

The previous prime is 85865304567773. The next prime is 85865304567851. The reversal of 85865304567817 is 71876540356858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84336745718016 + 1528558849801 = 9183504^2 + 1236349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85865304567817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85865304567817.

It is not a weakly prime, because it can be changed into another prime (85865304567877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42932652283908 + 42932652283909.

It is an arithmetic number, because the mean of its divisors is an integer number (42932652283909).

Almost surely, 2^{85865304567817} is an apocalyptic number.

It is an amenable number.

85865304567817 is a deficient number, since it is larger than the sum of its proper divisors (1).

85865304567817 is an equidigital number, since it uses as much as digits as its factorization.

85865304567817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1354752000, while the sum is 73.

The spelling of 85865304567817 in words is "eighty-five trillion, eight hundred sixty-five billion, three hundred four million, five hundred sixty-seven thousand, eight hundred seventeen".