1005013 has 2 divisors, whose sum is σ = 1005014. Its totient is φ = 1005012.

The previous prime is 1005007. The next prime is 1005019. The reversal of 1005013 is 3105001.

It is a balanced prime because it is at equal distance from previous prime (1005007) and next prime (1005019).

It can be written as a sum of positive squares in only one way, i.e., 887364 + 117649 = 942^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005013 - 2⁵ = 1004981 is a prime.

It is a super-2 number, since 2×1005013² = 2020102260338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502506 + 502507.

It is an arithmetic number, because the mean of its divisors is an integer number (502507).

2^1005013 is an apocalyptic number.

It is an amenable number.

1005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005013 is an equidigital number, since it uses as much as digits as its factorization.

1005013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1005013 is about 1002.5033665779. The cubic root of 1005013 is about 100.1668215509.

The spelling of 1005013 in words is "one million, five thousand, thirteen".