26802257947217 has 2 divisors, whose sum is σ = 26802257947218. Its totient is φ = 26802257947216.

The previous prime is 26802257947163. The next prime is 26802257947219. The reversal of 26802257947217 is 71274975220862.

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., 14444438741056 + 12357819206161 = 3800584^2 + 3515369^2 .

It is a cyclic number.

It is not a de Polignac number, because 26802257947217 - 2¹⁶ = 26802257881681 is a prime.

It is a super-2 number, since 2×26802257947217² (a number of 28 digits) contains 22 as substring.

Together with 26802257947219, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26802257947217.

It is not a weakly prime, because it can be changed into another prime (26802257947219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13401128973608 + 13401128973609.

It is an arithmetic number, because the mean of its divisors is an integer number (13401128973609).

Almost surely, 2^{26802257947217} is an apocalyptic number.

It is an amenable number.

26802257947217 is a deficient number, since it is larger than the sum of its proper divisors (1).

26802257947217 is an equidigital number, since it uses as much as digits as its factorization.

26802257947217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 26802257947217 in words is "twenty-six trillion, eight hundred two billion, two hundred fifty-seven million, nine hundred forty-seven thousand, two hundred seventeen".