13405309 has 2 divisors, whose sum is σ = 13405310. Its totient is φ = 13405308.

The previous prime is 13405307. The next prime is 13405349. The reversal of 13405309 is 90350431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10176100 + 3229209 = 3190^2 + 1797^2 .

It is a cyclic number.

It is not a de Polignac number, because 13405309 - 2¹ = 13405307 is a prime.

Together with 13405307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405307) 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, 6702654 + 6702655.

It is an arithmetic number, because the mean of its divisors is an integer number (6702655).

Almost surely, 2^13405309 is an apocalyptic number.

It is an amenable number.

13405309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405309 is an equidigital number, since it uses as much as digits as its factorization.

13405309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13405309 is about 3661.3261258730. The cubic root of 13405309 is about 237.5521377686.

The spelling of 13405309 in words is "thirteen million, four hundred five thousand, three hundred nine".