1005249209 has 2 divisors, whose sum is σ = 1005249210. Its totient is φ = 1005249208.

The previous prime is 1005249187. The next prime is 1005249221. The reversal of 1005249209 is 9029425001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 894010000 + 111239209 = 29900^2 + 10547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005249209 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 (1005249229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502624604 + 502624605.

It is an arithmetic number, because the mean of its divisors is an integer number (502624605).

Almost surely, 2^1005249209 is an apocalyptic number.

It is an amenable number.

1005249209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005249209 is an equidigital number, since it uses as much as digits as its factorization.

1005249209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1005249209 is about 31705.6652508664. The cubic root of 1005249209 is about 1001.7466836532.

The spelling of 1005249209 in words is "one billion, five million, two hundred forty-nine thousand, two hundred nine".