330013049 has 2 divisors, whose sum is σ = 330013050. Its totient is φ = 330013048.

The previous prime is 330013037. The next prime is 330013051. The reversal of 330013049 is 940310033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329676649 + 336400 = 18157^2 + 580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330013049 is a prime.

It is a super-2 number, since 2×330013049² = 217817225020552802, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 330013051, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (330013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165006524 + 165006525.

It is an arithmetic number, because the mean of its divisors is an integer number (165006525).

Almost surely, 2^330013049 is an apocalyptic number.

It is an amenable number.

330013049 is a deficient number, since it is larger than the sum of its proper divisors (1).

330013049 is an equidigital number, since it uses as much as digits as its factorization.

330013049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 330013049 is about 18166.2612829388. The cubic root of 330013049 is about 691.0514313773.

The spelling of 330013049 in words is "three hundred thirty million, thirteen thousand, forty-nine".