3005015313 has 16 divisors (see below), whose sum is σ = 4055400000. Its totient is φ = 1979028480.

The previous prime is 3005015303. The next prime is 3005015323. The reversal of 3005015313 is 3135105003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3005015303) and next prime (3005015323).

It is not a de Polignac number, because 3005015313 - 2¹⁶ = 3004949777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3005015313.

It is not an unprimeable number, because it can be changed into a prime (3005015303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328978 + ... + 337988.

It is an arithmetic number, because the mean of its divisors is an integer number (253462500).

Almost surely, 2^3005015313 is an apocalyptic number.

It is an amenable number.

3005015313 is a deficient number, since it is larger than the sum of its proper divisors (1050384687).

3005015313 is a wasteful number, since it uses less digits than its factorization.

3005015313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 3005015313 is about 54818.0199660659. The cubic root of 3005015313 is about 1443.0528265222.

The spelling of 3005015313 in words is "three billion, five million, fifteen thousand, three hundred thirteen".