13005009 has 8 divisors (see below), whose sum is σ = 19266720. Its totient is φ = 8669988.

The previous prime is 13005007. The next prime is 13005011. The reversal of 13005009 is 90050031.

It is an interprime number because it is at equal distance from previous prime (13005007) and next prime (13005011).

It is not a de Polignac number, because 13005009 - 2¹ = 13005007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13004982 and 13005000.

It is not an unprimeable number, because it can be changed into a prime (13005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240807 + ... + 240860.

It is an arithmetic number, because the mean of its divisors is an integer number (2408340).

Almost surely, 2^13005009 is an apocalyptic number.

It is an amenable number.

13005009 is a deficient number, since it is larger than the sum of its proper divisors (6261711).

13005009 is an equidigital number, since it uses as much as digits as its factorization.

13005009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481676 (or 481670 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13005009 is about 3606.2458318867. The cubic root of 13005009 is about 235.1636644723.

The spelling of 13005009 in words is "thirteen million, five thousand, nine".