414816013 has 2 divisors, whose sum is σ = 414816014. Its totient is φ = 414816012.

The previous prime is 414816011. The next prime is 414816047. The reversal of 414816013 is 310618414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 366416164 + 48399849 = 19142^2 + 6957^2 .

It is a cyclic number.

It is not a de Polignac number, because 414816013 - 2¹ = 414816011 is a prime.

Together with 414816011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414816011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207408006 + 207408007.

It is an arithmetic number, because the mean of its divisors is an integer number (207408007).

Almost surely, 2^414816013 is an apocalyptic number.

It is an amenable number.

414816013 is a deficient number, since it is larger than the sum of its proper divisors (1).

414816013 is an equidigital number, since it uses as much as digits as its factorization.

414816013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 414816013 is about 20367.0325035337. The cubic root of 414816013 is about 745.7933461231.

The spelling of 414816013 in words is "four hundred fourteen million, eight hundred sixteen thousand, thirteen".