1005413009 has 2 divisors, whose sum is σ = 1005413010. Its totient is φ = 1005413008.

The previous prime is 1005412957. The next prime is 1005413033. The reversal of 1005413009 is 9003145001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 951537409 + 53875600 = 30847^2 + 7340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005413009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1005413069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502706504 + 502706505.

It is an arithmetic number, because the mean of its divisors is an integer number (502706505).

Almost surely, 2^1005413009 is an apocalyptic number.

It is an amenable number.

1005413009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005413009 is an equidigital number, since it uses as much as digits as its factorization.

1005413009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1005413009 is about 31708.2482802188. The cubic root of 1005413009 is about 1001.8010904590.

The spelling of 1005413009 in words is "one billion, five million, four hundred thirteen thousand, nine".