130805309 has 2 divisors, whose sum is σ = 130805310. Its totient is φ = 130805308.

The previous prime is 130805281. The next prime is 130805321. The reversal of 130805309 is 903508031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116532025 + 14273284 = 10795^2 + 3778^2 .

It is an emirp because it is prime and its reverse (903508031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130805309 - 2¹⁶ = 130739773 is a prime.

It is a super-2 number, since 2×130805309² = 34220057725170962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130805369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65402654 + 65402655.

It is an arithmetic number, because the mean of its divisors is an integer number (65402655).

Almost surely, 2^130805309 is an apocalyptic number.

It is an amenable number.

130805309 is a deficient number, since it is larger than the sum of its proper divisors (1).

130805309 is an equidigital number, since it uses as much as digits as its factorization.

130805309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 130805309 is about 11437.0148640281. The cubic root of 130805309 is about 507.6235831917.

The spelling of 130805309 in words is "one hundred thirty million, eight hundred five thousand, three hundred nine".