3005005052849 has 2 divisors, whose sum is σ = 3005005052850. Its totient is φ = 3005005052848.

The previous prime is 3005005052809. The next prime is 3005005052851. The reversal of 3005005052849 is 9482505005003.

3005005052849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1871237956624 + 1133767096225 = 1367932^2 + 1064785^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005005052849 - 2²⁰ = 3005004004273 is a prime.

It is a Sophie Germain prime.

Together with 3005005052851, 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 (3005005052809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502502526424 + 1502502526425.

It is an arithmetic number, because the mean of its divisors is an integer number (1502502526425).

Almost surely, 2^{3005005052849} is an apocalyptic number.

It is an amenable number.

3005005052849 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005005052849 is an equidigital number, since it uses as much as digits as its factorization.

3005005052849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 3005005052849 in words is "three trillion, five billion, five million, fifty-two thousand, eight hundred forty-nine".