86573514266209 has 2 divisors, whose sum is σ = 86573514266210. Its totient is φ = 86573514266208.

The previous prime is 86573514266179. The next prime is 86573514266221. The reversal of 86573514266209 is 90266241537568.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75020802717025 + 11552711549184 = 8661455^2 + 3398928^2 .

It is a cyclic number.

It is not a de Polignac number, because 86573514266209 - 2⁴³ = 77777421244001 is a prime.

It is not a weakly prime, because it can be changed into another prime (86573514266269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43286757133104 + 43286757133105.

It is an arithmetic number, because the mean of its divisors is an integer number (43286757133105).

It is a 1-persistent number, because it is pandigital, but 2⋅86573514266209 = 173147028532418 is not.

Almost surely, 2^{86573514266209} is an apocalyptic number.

It is an amenable number.

86573514266209 is a deficient number, since it is larger than the sum of its proper divisors (1).

86573514266209 is an equidigital number, since it uses as much as digits as its factorization.

86573514266209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 86573514266209 in words is "eighty-six trillion, five hundred seventy-three billion, five hundred fourteen million, two hundred sixty-six thousand, two hundred nine".