13187648325017 has 2 divisors, whose sum is σ = 13187648325018. Its totient is φ = 13187648325016.

The previous prime is 13187648325001. The next prime is 13187648325037. The reversal of 13187648325017 is 71052384678131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11974513497241 + 1213134827776 = 3460421^2 + 1101424^2 .

It is a cyclic number.

It is not a de Polignac number, because 13187648325017 - 2⁴ = 13187648325001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13187648325037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6593824162508 + 6593824162509.

It is an arithmetic number, because the mean of its divisors is an integer number (6593824162509).

Almost surely, 2^{13187648325017} is an apocalyptic number.

It is an amenable number.

13187648325017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13187648325017 is an equidigital number, since it uses as much as digits as its factorization.

13187648325017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 13187648325017 in words is "thirteen trillion, one hundred eighty-seven billion, six hundred forty-eight million, three hundred twenty-five thousand, seventeen".