9006013 has 2 divisors, whose sum is σ = 9006014. Its totient is φ = 9006012.

The previous prime is 9005989. The next prime is 9006031. The reversal of 9006013 is 3106009.

Together with next prime (9006031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6853924 + 2152089 = 2618^2 + 1467^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9006013 is a prime.

It is a super-2 number, since 2×9006013² = 162216540312338, which contains 22 as substring.

9006013 is a lucky number.

It is equal to p₆₀₂₈₃₀ and since 9006013 and 602830 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9006043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503006 + 4503007.

It is an arithmetic number, because the mean of its divisors is an integer number (4503007).

Almost surely, 2^9006013 is an apocalyptic number.

It is an amenable number.

9006013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9006013 is an equidigital number, since it uses as much as digits as its factorization.

9006013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 9006013 is about 3001.0019993329. The cubic root of 9006013 is about 208.0546962296.

The spelling of 9006013 in words is "nine million, six thousand, thirteen".