8226685706257 has 2 divisors, whose sum is σ = 8226685706258. Its totient is φ = 8226685706256.

The previous prime is 8226685706249. The next prime is 8226685706263. The reversal of 8226685706257 is 7526075866228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5473395941841 + 2753289764416 = 2339529^2 + 1659304^2 .

It is a cyclic number.

It is not a de Polignac number, because 8226685706257 - 2³ = 8226685706249 is a prime.

It is not a weakly prime, because it can be changed into another prime (8226685706297) 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, 4113342853128 + 4113342853129.

It is an arithmetic number, because the mean of its divisors is an integer number (4113342853129).

Almost surely, 2^{8226685706257} is an apocalyptic number.

It is an amenable number.

8226685706257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8226685706257 is an equidigital number, since it uses as much as digits as its factorization.

8226685706257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 8226685706257 in words is "eight trillion, two hundred twenty-six billion, six hundred eighty-five million, seven hundred six thousand, two hundred fifty-seven".