1005535409 has 2 divisors, whose sum is σ = 1005535410. Its totient is φ = 1005535408.

The previous prime is 1005535403. The next prime is 1005535429. The reversal of 1005535409 is 9045355001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630261025 + 375274384 = 25105^2 + 19372^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005535409 - 2⁴ = 1005535393 is a prime.

It is a super-2 number, since 2×1005535409² = 2022202917505594562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005535403) 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, 502767704 + 502767705.

It is an arithmetic number, because the mean of its divisors is an integer number (502767705).

Almost surely, 2^1005535409 is an apocalyptic number.

It is an amenable number.

1005535409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005535409 is an equidigital number, since it uses as much as digits as its factorization.

1005535409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 1005535409 is about 31710.1783186408. The cubic root of 1005535409 is about 1001.8417422365.

The spelling of 1005535409 in words is "one billion, five million, five hundred thirty-five thousand, four hundred nine".