13008517 has 2 divisors, whose sum is σ = 13008518. Its totient is φ = 13008516.

The previous prime is 13008503. The next prime is 13008539. The reversal of 13008517 is 71580031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12173121 + 835396 = 3489^2 + 914^2 .

It is an emirp because it is prime and its reverse (71580031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13008517 - 2¹⁹ = 12484229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13008491 and 13008500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13008557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6504258 + 6504259.

It is an arithmetic number, because the mean of its divisors is an integer number (6504259).

Almost surely, 2^13008517 is an apocalyptic number.

It is an amenable number.

13008517 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008517 is an equidigital number, since it uses as much as digits as its factorization.

13008517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 13008517 is about 3606.7321774703. The cubic root of 13008517 is about 235.1848070943.

Adding to 13008517 its reverse (71580031), we get a palindrome (84588548).

The spelling of 13008517 in words is "thirteen million, eight thousand, five hundred seventeen".