1305305369 has 2 divisors, whose sum is σ = 1305305370. Its totient is φ = 1305305368.

The previous prime is 1305305357. The next prime is 1305305371. The reversal of 1305305369 is 9635035031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 951414025 + 353891344 = 30845^2 + 18812^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305305369 - 2²⁸ = 1036869913 is a prime.

It is a super-2 number, since 2×1305305369² = 3407644212680452322, which contains 22 as substring.

Together with 1305305371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1305305569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652652684 + 652652685.

It is an arithmetic number, because the mean of its divisors is an integer number (652652685).

Almost surely, 2^1305305369 is an apocalyptic number.

It is an amenable number.

1305305369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305305369 is an equidigital number, since it uses as much as digits as its factorization.

1305305369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36450, while the sum is 35.

The square root of 1305305369 is about 36129.0100750076. The cubic root of 1305305369 is about 1092.8755453732.

The spelling of 1305305369 in words is "one billion, three hundred five million, three hundred five thousand, three hundred sixty-nine".