13157017 has 2 divisors, whose sum is σ = 13157018. Its totient is φ = 13157016.

The previous prime is 13156999. The next prime is 13157021. The reversal of 13157017 is 71075131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7862416 + 5294601 = 2804^2 + 2301^2 .

It is an emirp because it is prime and its reverse (71075131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13157017 - 2⁷ = 13156889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13156982 and 13157000.

It is not a weakly prime, because it can be changed into another prime (13157087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6578508 + 6578509.

It is an arithmetic number, because the mean of its divisors is an integer number (6578509).

Almost surely, 2^13157017 is an apocalyptic number.

It is an amenable number.

13157017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13157017 is an equidigital number, since it uses as much as digits as its factorization.

13157017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 13157017 is about 3627.2602608580. The cubic root of 13157017 is about 236.0763482272.

The spelling of 13157017 in words is "thirteen million, one hundred fifty-seven thousand, seventeen".