26513520516449 has 2 divisors, whose sum is σ = 26513520516450. Its totient is φ = 26513520516448.

The previous prime is 26513520516421. The next prime is 26513520516491. The reversal of 26513520516449 is 94461502531562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20356050485824 + 6157470030625 = 4511768^2 + 2481425^2 .

It is a cyclic number.

It is not a de Polignac number, because 26513520516449 - 2²⁸ = 26513252080993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 26513520516449.

It is not a weakly prime, because it can be changed into another prime (26513520516649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13256760258224 + 13256760258225.

It is an arithmetic number, because the mean of its divisors is an integer number (13256760258225).

Almost surely, 2^{26513520516449} is an apocalyptic number.

It is an amenable number.

26513520516449 is a deficient number, since it is larger than the sum of its proper divisors (1).

26513520516449 is an equidigital number, since it uses as much as digits as its factorization.

26513520516449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 26513520516449 in words is "twenty-six trillion, five hundred thirteen billion, five hundred twenty million, five hundred sixteen thousand, four hundred forty-nine".