13515488553401 has 2 divisors, whose sum is σ = 13515488553402. Its totient is φ = 13515488553400.

The previous prime is 13515488553379. The next prime is 13515488553403. The reversal of 13515488553401 is 10435588451531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7971587560000 + 5543900993401 = 2823400^2 + 2354549^2 .

It is a cyclic number.

It is not a de Polignac number, because 13515488553401 - 2⁴² = 9117442042297 is a prime.

It is a super-2 number, since 2×13515488553401² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 13515488553403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13515488553403) 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, 6757744276700 + 6757744276701.

It is an arithmetic number, because the mean of its divisors is an integer number (6757744276701).

Almost surely, 2^{13515488553401} is an apocalyptic number.

It is an amenable number.

13515488553401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13515488553401 is an equidigital number, since it uses as much as digits as its factorization.

13515488553401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760000, while the sum is 53.

The spelling of 13515488553401 in words is "thirteen trillion, five hundred fifteen billion, four hundred eighty-eight million, five hundred fifty-three thousand, four hundred one".