12519 has 12 divisors (see below), whose sum is σ = 19656. Its totient is φ = 7632.

The previous prime is 12517. The next prime is 12527. The reversal of 12519 is 91521.

12519 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12519 - 2¹ = 12517 is a prime.

It is a super-2 number, since 2×12519² = 313450722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

12519 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹²⁵¹⁹ is an apocalyptic number.

12519 is a deficient number, since it is larger than the sum of its proper divisors (7137).

12519 is a wasteful number, since it uses less digits than its factorization.

12519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 12519 is about 111.8883371938. Note that the first 3 decimals coincide. The cubic root of 12519 is about 23.2196969071.

It can be divided in two parts, 125 and 19, that added together give a square (144 = 12²).

The spelling of 12519 in words is "twelve thousand, five hundred nineteen".