26572869768257 has 2 divisors, whose sum is σ = 26572869768258. Its totient is φ = 26572869768256.

The previous prime is 26572869768229. The next prime is 26572869768259. The reversal of 26572869768257 is 75286796827562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16026899296321 + 10545970471936 = 4003361^2 + 3247456^2 .

It is a cyclic number.

It is not a de Polignac number, because 26572869768257 - 2³⁴ = 26555689899073 is a prime.

It is a super-2 number, since 2×26572869768257² (a number of 28 digits) contains 22 as substring.

Together with 26572869768259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (26572869768259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13286434884128 + 13286434884129.

It is an arithmetic number, because the mean of its divisors is an integer number (13286434884129).

Almost surely, 2^{26572869768257} is an apocalyptic number.

It is an amenable number.

26572869768257 is a deficient number, since it is larger than the sum of its proper divisors (1).

26572869768257 is an equidigital number, since it uses as much as digits as its factorization.

26572869768257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8534937600, while the sum is 80.

The spelling of 26572869768257 in words is "twenty-six trillion, five hundred seventy-two billion, eight hundred sixty-nine million, seven hundred sixty-eight thousand, two hundred fifty-seven".