13575042754657 has 2 divisors, whose sum is σ = 13575042754658. Its totient is φ = 13575042754656.

The previous prime is 13575042754549. The next prime is 13575042754681. The reversal of 13575042754657 is 75645724057531.

It is a happy number.

13575042754657 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., 12767122218321 + 807920536336 = 3573111^2 + 898844^2 .

It is a cyclic number.

It is not a de Polignac number, because 13575042754657 - 2¹⁹ = 13575042230369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13575042754595 and 13575042754604.

It is not a weakly prime, because it can be changed into another prime (13575042754687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6787521377328 + 6787521377329.

It is an arithmetic number, because the mean of its divisors is an integer number (6787521377329).

Almost surely, 2^{13575042754657} is an apocalyptic number.

It is an amenable number.

13575042754657 is a deficient number, since it is larger than the sum of its proper divisors (1).

13575042754657 is an equidigital number, since it uses as much as digits as its factorization.

13575042754657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 123480000, while the sum is 61.

The spelling of 13575042754657 in words is "thirteen trillion, five hundred seventy-five billion, forty-two million, seven hundred fifty-four thousand, six hundred fifty-seven".