10509 has 8 divisors (see below), whose sum is σ = 14592. Its totient is φ = 6720.

The previous prime is 10501. The next prime is 10513. The reversal of 10509 is 90501.

10509 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10509 - 2³ = 10501 is a prime.

It is a super-2 number, since 2×10509² = 220878162, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

10509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

2¹⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

10509 is a deficient number, since it is larger than the sum of its proper divisors (4083).

10509 is a wasteful number, since it uses less digits than its factorization.

10509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

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

The square root of 10509 is about 102.5134137564. The cubic root of 10509 is about 21.9038503686.

The spelling of 10509 in words is "ten thousand, five hundred nine".