1305097331 has 2 divisors, whose sum is σ = 1305097332. Its totient is φ = 1305097330.

The previous prime is 1305097319. The next prime is 1305097333. The reversal of 1305097331 is 1337905031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1305097331 is a prime.

It is a super-2 number, since 2×1305097331² = 3406558086766647122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1305097333, 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 (1305097333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652548665 + 652548666.

It is an arithmetic number, because the mean of its divisors is an integer number (652548666).

Almost surely, 2^1305097331 is an apocalyptic number.

1305097331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305097331 is an equidigital number, since it uses as much as digits as its factorization.

1305097331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8505, while the sum is 32.

The square root of 1305097331 is about 36126.1308611924. The cubic root of 1305097331 is about 1092.8174818917.

The spelling of 1305097331 in words is "one billion, three hundred five million, ninety-seven thousand, three hundred thirty-one".