13005007 has 2 divisors, whose sum is σ = 13005008. Its totient is φ = 13005006.

The previous prime is 13004993. The next prime is 13005011. The reversal of 13005007 is 70050031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13005007 - 2⁷ = 13004879 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005037) 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, 6502503 + 6502504.

It is an arithmetic number, because the mean of its divisors is an integer number (6502504).

Almost surely, 2^13005007 is an apocalyptic number.

13005007 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005007 is an equidigital number, since it uses as much as digits as its factorization.

13005007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13005007 is about 3606.2455545900. The cubic root of 13005007 is about 235.1636524172.

Adding to 13005007 its reverse (70050031), we get a palindrome (83055038).

The spelling of 13005007 in words is "thirteen million, five thousand, seven".