1509 has 4 divisors (see below), whose sum is σ = 2016. Its totient is φ = 1004.

The previous prime is 1499. The next prime is 1511. The reversal of 1509 is 9051.

1509 is nontrivially palindromic in base 16.

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 1509 - 2⁴ = 1493 is a prime.

It is an Ulam number.

It is a D-number.

1509 is an undulating number in base 16.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is an amenable number.

1509 is a deficient number, since it is larger than the sum of its proper divisors (507).

1509 is an equidigital number, since it uses as much as digits as its factorization.

1509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

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

The square root of 1509 is about 38.8458491991. The cubic root of 1509 is about 11.4699910738.

The spelling of 1509 in words is "one thousand, five hundred nine".