13137409 has 2 divisors, whose sum is σ = 13137410. Its totient is φ = 13137408.

The previous prime is 13137401. The next prime is 13137419. The reversal of 13137409 is 90473131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12759184 + 378225 = 3572^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 13137409 - 2³ = 13137401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13137401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568704 + 6568705.

It is an arithmetic number, because the mean of its divisors is an integer number (6568705).

Almost surely, 2^13137409 is an apocalyptic number.

It is an amenable number.

13137409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137409 is an equidigital number, since it uses as much as digits as its factorization.

13137409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13137409 is about 3624.5563866493. The cubic root of 13137409 is about 235.9590144760.

The spelling of 13137409 in words is "thirteen million, one hundred thirty-seven thousand, four hundred nine".