13509497 has 2 divisors, whose sum is σ = 13509498. Its totient is φ = 13509496.

The previous prime is 13509479. The next prime is 13509511. The reversal of 13509497 is 79490531.

It is a happy number.

Together with previous prime (13509479) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12138256 + 1371241 = 3484^2 + 1171^2 .

It is a cyclic number.

It is not a de Polignac number, because 13509497 - 2¹⁴ = 13493113 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13509497.

It is not a weakly prime, because it can be changed into another prime (13509467) 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, 6754748 + 6754749.

It is an arithmetic number, because the mean of its divisors is an integer number (6754749).

Almost surely, 2^13509497 is an apocalyptic number.

It is an amenable number.

13509497 is a deficient number, since it is larger than the sum of its proper divisors (1).

13509497 is an equidigital number, since it uses as much as digits as its factorization.

13509497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 13509497 is about 3675.5267649685. The cubic root of 13509497 is about 238.1659800695.

The spelling of 13509497 in words is "thirteen million, five hundred nine thousand, four hundred ninety-seven".