13006309 has 8 divisors (see below), whose sum is σ = 13808448. Its totient is φ = 12208320.

The previous prime is 13006291. The next prime is 13006321. The reversal of 13006309 is 90360031.

13006309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13006309 - 2¹¹ = 13004261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13006309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7494 + ... + 9064.

It is an arithmetic number, because the mean of its divisors is an integer number (1726056).

Almost surely, 2^13006309 is an apocalyptic number.

It is an amenable number.

13006309 is a deficient number, since it is larger than the sum of its proper divisors (802139).

13006309 is a wasteful number, since it uses less digits than its factorization.

13006309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13006309 is about 3606.4260702252. The cubic root of 13006309 is about 235.1714999808.

The spelling of 13006309 in words is "thirteen million, six thousand, three hundred nine".