1008013 has 2 divisors, whose sum is σ = 1008014. Its totient is φ = 1008012.

The previous prime is 1008001. The next prime is 1008017. The reversal of 1008013 is 3108001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 956484 + 51529 = 978^2 + 227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1008013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007984 and 1008002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504006 + 504007.

It is an arithmetic number, because the mean of its divisors is an integer number (504007).

2^1008013 is an apocalyptic number.

It is an amenable number.

1008013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008013 is an equidigital number, since it uses as much as digits as its factorization.

1008013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1008013 is about 1003.9985059750. The cubic root of 1008013 is about 100.2663897350.

The spelling of 1008013 in words is "one million, eight thousand, thirteen".