1004133409 has 2 divisors, whose sum is σ = 1004133410. Its totient is φ = 1004133408.

The previous prime is 1004133401. The next prime is 1004133437. The reversal of 1004133409 is 9043314001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 624000400 + 380133009 = 24980^2 + 19497^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004133409 - 2³ = 1004133401 is a prime.

It is a super-2 number, since 2×1004133409² = 2016567806139922562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1004133401) 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, 502066704 + 502066705.

It is an arithmetic number, because the mean of its divisors is an integer number (502066705).

Almost surely, 2^1004133409 is an apocalyptic number.

It is an amenable number.

1004133409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004133409 is an equidigital number, since it uses as much as digits as its factorization.

1004133409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1004133409 is about 31688.0641409348. The cubic root of 1004133409 is about 1001.3759090062.

The spelling of 1004133409 in words is "one billion, four million, one hundred thirty-three thousand, four hundred nine".