1000509 has 4 divisors (see below), whose sum is σ = 1334016. Its totient is φ = 667004.

The previous prime is 1000507. The next prime is 1000537. The reversal of 1000509 is 9050001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000509 - 2¹ = 1000507 is a prime.

It is a super-3 number, since 3×1000509³ = 3004583332124616687, which contains 333 as substring.

It is a D-number.

1000509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166749 + ... + 166754.

It is an arithmetic number, because the mean of its divisors is an integer number (333504).

2^1000509 is an apocalyptic number.

It is an amenable number.

1000509 is a deficient number, since it is larger than the sum of its proper divisors (333507).

1000509 is an equidigital number, since it uses as much as digits as its factorization.

1000509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333506.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1000509 is about 1000.2544676231. The cubic root of 1000509 is about 100.0169637888.

The spelling of 1000509 in words is "one million, five hundred nine", and thus it is an aban number.