26105363129 has 2 divisors, whose sum is σ = 26105363130. Its totient is φ = 26105363128.

The previous prime is 26105363077. The next prime is 26105363131. The reversal of 26105363129 is 92136350162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14581770025 + 11523593104 = 120755^2 + 107348^2 .

It is a cyclic number.

It is not a de Polignac number, because 26105363129 - 2²⁸ = 25836927673 is a prime.

Together with 26105363131, 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 = 26105363092 and 26105363101.

It is not a weakly prime, because it can be changed into another prime (26105363189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13052681564 + 13052681565.

It is an arithmetic number, because the mean of its divisors is an integer number (13052681565).

Almost surely, 2^26105363129 is an apocalyptic number.

It is an amenable number.

26105363129 is a deficient number, since it is larger than the sum of its proper divisors (1).

26105363129 is an equidigital number, since it uses as much as digits as its factorization.

26105363129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 26105363129 in words is "twenty-six billion, one hundred five million, three hundred sixty-three thousand, one hundred twenty-nine".