13526013649 has 2 divisors, whose sum is σ = 13526013650. Its totient is φ = 13526013648.

The previous prime is 13526013619. The next prime is 13526013653. The reversal of 13526013649 is 94631062531.

13526013649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13500813249 + 25200400 = 116193^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 13526013649 - 2²³ = 13517625041 is a prime.

It is not a weakly prime, because it can be changed into another prime (13526013619) 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, 6763006824 + 6763006825.

It is an arithmetic number, because the mean of its divisors is an integer number (6763006825).

Almost surely, 2^13526013649 is an apocalyptic number.

It is an amenable number.

13526013649 is a deficient number, since it is larger than the sum of its proper divisors (1).

13526013649 is an equidigital number, since it uses as much as digits as its factorization.

13526013649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 13526013649 in words is "thirteen billion, five hundred twenty-six million, thirteen thousand, six hundred forty-nine".