3006013 has 2 divisors, whose sum is σ = 3006014. Its totient is φ = 3006012.

The previous prime is 3005999. The next prime is 3006037. The reversal of 3006013 is 3106003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2748964 + 257049 = 1658^2 + 507^2 .

It is an emirp because it is prime and its reverse (3106003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3006013 - 2¹³ = 2997821 is a prime.

It is a super-2 number, since 2×3006013² = 18072228312338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005984 and 3006002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3006413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503006 + 1503007.

It is an arithmetic number, because the mean of its divisors is an integer number (1503007).

Almost surely, 2^3006013 is an apocalyptic number.

It is an amenable number.

3006013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006013 is an equidigital number, since it uses as much as digits as its factorization.

3006013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3006013 is about 1733.7857422415. The cubic root of 3006013 is about 144.3212510206.

The spelling of 3006013 in words is "three million, six thousand, thirteen".