13588409 has 2 divisors, whose sum is σ = 13588410. Its totient is φ = 13588408.

The previous prime is 13588403. The next prime is 13588411. The reversal of 13588409 is 90488531.

13588409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8761600 + 4826809 = 2960^2 + 2197^2 .

It is a cyclic number.

It is not a de Polignac number, because 13588409 - 2¹² = 13584313 is a prime.

It is a Sophie Germain prime.

Together with 13588411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13588403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6794204 + 6794205.

It is an arithmetic number, because the mean of its divisors is an integer number (6794205).

Almost surely, 2^13588409 is an apocalyptic number.

It is an amenable number.

13588409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13588409 is an equidigital number, since it uses as much as digits as its factorization.

13588409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 13588409 is about 3686.2459223443. The cubic root of 13588409 is about 238.6288070345.

The spelling of 13588409 in words is "thirteen million, five hundred eighty-eight thousand, four hundred nine".