13518965161393 has 2 divisors, whose sum is σ = 13518965161394. Its totient is φ = 13518965161392.

The previous prime is 13518965161367. The next prime is 13518965161397. The reversal of 13518965161393 is 39316156981531.

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., 11837645785744 + 1681319375649 = 3440588^2 + 1296657^2 .

It is a cyclic number.

It is not a de Polignac number, because 13518965161393 - 2³⁷ = 13381526207921 is a prime.

It is not a weakly prime, because it can be changed into another prime (13518965161397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6759482580696 + 6759482580697.

It is an arithmetic number, because the mean of its divisors is an integer number (6759482580697).

Almost surely, 2^{13518965161393} is an apocalyptic number.

It is an amenable number.

13518965161393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13518965161393 is an equidigital number, since it uses as much as digits as its factorization.

13518965161393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15746400, while the sum is 61.

The spelling of 13518965161393 in words is "thirteen trillion, five hundred eighteen billion, nine hundred sixty-five million, one hundred sixty-one thousand, three hundred ninety-three".