1005331409 has 2 divisors, whose sum is σ = 1005331410. Its totient is φ = 1005331408.

The previous prime is 1005331381. The next prime is 1005331493. The reversal of 1005331409 is 9041335001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 956541184 + 48790225 = 30928^2 + 6985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005331409 - 2¹⁶ = 1005265873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005331709) 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, 502665704 + 502665705.

It is an arithmetic number, because the mean of its divisors is an integer number (502665705).

Almost surely, 2^1005331409 is an apocalyptic number.

It is an amenable number.

1005331409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005331409 is an equidigital number, since it uses as much as digits as its factorization.

1005331409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1005331409 is about 31706.9615226688. The cubic root of 1005331409 is about 1001.7739874410.

The spelling of 1005331409 in words is "one billion, five million, three hundred thirty-one thousand, four hundred nine".