8221206495917 has 2 divisors, whose sum is σ = 8221206495918. Its totient is φ = 8221206495916.

The previous prime is 8221206495907. The next prime is 8221206495919. The reversal of 8221206495917 is 7195946021228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6130605712036 + 2090600783881 = 2476006^2 + 1445891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8221206495917 is a prime.

Together with 8221206495919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8221206495919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4110603247958 + 4110603247959.

It is an arithmetic number, because the mean of its divisors is an integer number (4110603247959).

Almost surely, 2^{8221206495917} is an apocalyptic number.

It is an amenable number.

8221206495917 is a deficient number, since it is larger than the sum of its proper divisors (1).

8221206495917 is an equidigital number, since it uses as much as digits as its factorization.

8221206495917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 8221206495917 in words is "eight trillion, two hundred twenty-one billion, two hundred six million, four hundred ninety-five thousand, nine hundred seventeen".