86251306818217 has 2 divisors, whose sum is σ = 86251306818218. Its totient is φ = 86251306818216.

The previous prime is 86251306818197. The next prime is 86251306818227. The reversal of 86251306818217 is 71281860315268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59451054623401 + 26800252194816 = 7710451^2 + 5176896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86251306818217 is a prime.

It is not a weakly prime, because it can be changed into another prime (86251306818227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43125653409108 + 43125653409109.

It is an arithmetic number, because the mean of its divisors is an integer number (43125653409109).

Almost surely, 2^{86251306818217} is an apocalyptic number.

It is an amenable number.

86251306818217 is a deficient number, since it is larger than the sum of its proper divisors (1).

86251306818217 is an equidigital number, since it uses as much as digits as its factorization.

86251306818217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 86251306818217 in words is "eighty-six trillion, two hundred fifty-one billion, three hundred six million, eight hundred eighteen thousand, two hundred seventeen".