1006509 has 24 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 557760.

The previous prime is 1006507. The next prime is 1006513. The reversal of 1006509 is 9056001.

It is not a de Polignac number, because 1006509 - 2¹ = 1006507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5944 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2^1006509 is an apocalyptic number.

It is an amenable number.

1006509 is a deficient number, since it is larger than the sum of its proper divisors (602259).

1006509 is a wasteful number, since it uses less digits than its factorization.

1006509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1006509 is about 1003.2492212805. The cubic root of 1006509 is about 100.2164976162.

The spelling of 1006509 in words is "one million, six thousand, five hundred nine".