13503725984017 has 2 divisors, whose sum is σ = 13503725984018. Its totient is φ = 13503725984016.

The previous prime is 13503725983963. The next prime is 13503725984039. The reversal of 13503725984017 is 71048952730531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7032446319376 + 6471279664641 = 2651876^2 + 2543871^2 .

It is a cyclic number.

It is not a de Polignac number, because 13503725984017 - 2¹¹ = 13503725981969 is a prime.

It is not a weakly prime, because it can be changed into another prime (13503725984417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6751862992008 + 6751862992009.

It is an arithmetic number, because the mean of its divisors is an integer number (6751862992009).

Almost surely, 2^{13503725984017} is an apocalyptic number.

It is an amenable number.

13503725984017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13503725984017 is an equidigital number, since it uses as much as digits as its factorization.

13503725984017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 13503725984017 in words is "thirteen trillion, five hundred three billion, seven hundred twenty-five million, nine hundred eighty-four thousand, seventeen".