12513 has 8 divisors (see below), whose sum is σ = 17248. Its totient is φ = 8064.

The previous prime is 12511. The next prime is 12517. The reversal of 12513 is 31521.

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

It is not a de Polignac number, because 12513 - 2¹ = 12511 is a prime.

It is a Duffinian 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 (12511) 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, 81 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (2156).

2¹²⁵¹³ is an apocalyptic number.

It is an amenable number.

12513 is a deficient number, since it is larger than the sum of its proper divisors (4735).

12513 is an equidigital number, since it uses as much as digits as its factorization.

12513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its digits is 30, while the sum is 12.

The square root of 12513 is about 111.8615215344. The cubic root of 12513 is about 23.2159868012.

It can be divided in two parts, 12 and 513, that added together give a palindrome (525).

The spelling of 12513 in words is "twelve thousand, five hundred thirteen".