26627260841 has 2 divisors, whose sum is σ = 26627260842. Its totient is φ = 26627260840.

The previous prime is 26627260819. The next prime is 26627260843. The reversal of 26627260841 is 14806272662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20080023616 + 6547237225 = 141704^2 + 80915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26627260841 is a prime.

It is a super-2 number, since 2×26627260841² (a number of 22 digits) contains 22 as substring.

Together with 26627260843, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 26627260792 and 26627260801.

It is not a weakly prime, because it can be changed into another prime (26627260843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13313630420 + 13313630421.

It is an arithmetic number, because the mean of its divisors is an integer number (13313630421).

Almost surely, 2^26627260841 is an apocalyptic number.

It is an amenable number.

26627260841 is a deficient number, since it is larger than the sum of its proper divisors (1).

26627260841 is an equidigital number, since it uses as much as digits as its factorization.

26627260841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 26627260841 in words is "twenty-six billion, six hundred twenty-seven million, two hundred sixty thousand, eight hundred forty-one".