13009005 has 56 divisors (see below), whose sum is σ = 24238368. Its totient is φ = 6695136.

The previous prime is 13009001. The next prime is 13009019. The reversal of 13009005 is 50090031.

It is not a de Polignac number, because 13009005 - 2² = 13009001 is a prime.

It is a super-2 number, since 2×13009005² = 338468422180050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 156694 + ... + 156776.

It is an arithmetic number, because the mean of its divisors is an integer number (432828).

Almost surely, 2^13009005 is an apocalyptic number.

13009005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13009005 is a deficient number, since it is larger than the sum of its proper divisors (11229363).

13009005 is an frugal number, since it uses more digits than its factorization.

13009005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

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

The square root of 13009005 is about 3606.7998281025. The cubic root of 13009005 is about 235.1877479561.

Adding to 13009005 its reverse (50090031), we get a palindrome (63099036).

The spelling of 13009005 in words is "thirteen million, nine thousand, five".