705604013 has 2 divisors, whose sum is σ = 705604014. Its totient is φ = 705604012.

The previous prime is 705603971. The next prime is 705604021. The reversal of 705604013 is 310406507.

705604013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443228809 + 262375204 = 21053^2 + 16198^2 .

It is an emirp because it is prime and its reverse (310406507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705604013 - 2⁸ = 705603757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705604033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352802006 + 352802007.

It is an arithmetic number, because the mean of its divisors is an integer number (352802007).

Almost surely, 2^705604013 is an apocalyptic number.

It is an amenable number.

705604013 is a deficient number, since it is larger than the sum of its proper divisors (1).

705604013 is an equidigital number, since it uses as much as digits as its factorization.

705604013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 705604013 is about 26563.2078823323. The cubic root of 705604013 is about 890.2671474263.

The spelling of 705604013 in words is "seven hundred five million, six hundred four thousand, thirteen".