413107309 has 2 divisors, whose sum is σ = 413107310. Its totient is φ = 413107308.

The previous prime is 413107307. The next prime is 413107337. The reversal of 413107309 is 903701314.

It is an a-pointer prime, because the next prime (413107337) can be obtained adding 413107309 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255680100 + 157427209 = 15990^2 + 12547^2 .

It is a cyclic number.

It is not a de Polignac number, because 413107309 - 2¹ = 413107307 is a prime.

Together with 413107307, 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 (413107307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206553654 + 206553655.

It is an arithmetic number, because the mean of its divisors is an integer number (206553655).

Almost surely, 2^413107309 is an apocalyptic number.

It is an amenable number.

413107309 is a deficient number, since it is larger than the sum of its proper divisors (1).

413107309 is an equidigital number, since it uses as much as digits as its factorization.

413107309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 413107309 is about 20325.0414267720. The cubic root of 413107309 is about 744.7679165379.

The spelling of 413107309 in words is "four hundred thirteen million, one hundred seven thousand, three hundred nine".