26689837513 has 2 divisors, whose sum is σ = 26689837514. Its totient is φ = 26689837512.

The previous prime is 26689837477. The next prime is 26689837523. The reversal of 26689837513 is 31573898662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26478774729 + 211062784 = 162723^2 + 14528^2 .

It is a cyclic number.

It is not a de Polignac number, because 26689837513 - 2²⁹ = 26152966601 is a prime.

It is not a weakly prime, because it can be changed into another prime (26689837523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13344918756 + 13344918757.

It is an arithmetic number, because the mean of its divisors is an integer number (13344918757).

Almost surely, 2^26689837513 is an apocalyptic number.

It is an amenable number.

26689837513 is a deficient number, since it is larger than the sum of its proper divisors (1).

26689837513 is an equidigital number, since it uses as much as digits as its factorization.

26689837513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13063680, while the sum is 58.

It can be divided in two parts, 2668983 and 7513, that added together give a square (2676496 = 1636²).

The spelling of 26689837513 in words is "twenty-six billion, six hundred eighty-nine million, eight hundred thirty-seven thousand, five hundred thirteen".