7005013 has 2 divisors, whose sum is σ = 7005014. Its totient is φ = 7005012.

The previous prime is 7004941. The next prime is 7005017. The reversal of 7005013 is 3105007.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6517809 + 487204 = 2553^2 + 698^2 .

It is an emirp because it is prime and its reverse (3105007) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7005013 is a prime.

7005013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7005017) 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, 3502506 + 3502507.

It is an arithmetic number, because the mean of its divisors is an integer number (3502507).

Almost surely, 2^7005013 is an apocalyptic number.

It is an amenable number.

7005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7005013 is an equidigital number, since it uses as much as digits as its factorization.

7005013 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 7005013 is about 2646.6985094642. The cubic root of 7005013 is about 191.3387717809.

The spelling of 7005013 in words is "seven million, five thousand, thirteen".