13259113387649 has 2 divisors, whose sum is σ = 13259113387650. Its totient is φ = 13259113387648.

The previous prime is 13259113387621. The next prime is 13259113387651. The reversal of 13259113387649 is 94678331195231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8326872039424 + 4932241348225 = 2885632^2 + 2220865^2 .

It is a cyclic number.

It is not a de Polignac number, because 13259113387649 - 2⁸ = 13259113387393 is a prime.

Together with 13259113387651, 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 = 13259113387591 and 13259113387600.

It is not a weakly prime, because it can be changed into another prime (13259113387249) 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, 6629556693824 + 6629556693825.

It is an arithmetic number, because the mean of its divisors is an integer number (6629556693825).

Almost surely, 2^{13259113387649} is an apocalyptic number.

It is an amenable number.

13259113387649 is a deficient number, since it is larger than the sum of its proper divisors (1).

13259113387649 is an equidigital number, since it uses as much as digits as its factorization.

13259113387649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29393280, while the sum is 62.

The spelling of 13259113387649 in words is "thirteen trillion, two hundred fifty-nine billion, one hundred thirteen million, three hundred eighty-seven thousand, six hundred forty-nine".