26228538672961 has 2 divisors, whose sum is σ = 26228538672962. Its totient is φ = 26228538672960.

The previous prime is 26228538672943. The next prime is 26228538672971. The reversal of 26228538672961 is 16927683582262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26064700729600 + 163837943361 = 5105360^2 + 404769^2 .

It is a cyclic number.

It is not a de Polignac number, because 26228538672961 - 2²⁷ = 26228404455233 is a prime.

It is not a weakly prime, because it can be changed into another prime (26228538672911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13114269336480 + 13114269336481.

It is an arithmetic number, because the mean of its divisors is an integer number (13114269336481).

Almost surely, 2^{26228538672961} is an apocalyptic number.

It is an amenable number.

26228538672961 is a deficient number, since it is larger than the sum of its proper divisors (1).

26228538672961 is an equidigital number, since it uses as much as digits as its factorization.

26228538672961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209018880, while the sum is 67.

The spelling of 26228538672961 in words is "twenty-six trillion, two hundred twenty-eight billion, five hundred thirty-eight million, six hundred seventy-two thousand, nine hundred sixty-one".