12581 has 4 divisors (see below), whose sum is σ = 13152. Its totient is φ = 12012.

The previous prime is 12577. The next prime is 12583. The reversal of 12581 is 18521.

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 12581 - 2² = 12577 is a prime.

It is a super-2 number, since 2×12581² = 316563122, which contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12581.

It is not an unprimeable number, because it can be changed into a prime (12583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3288).

2¹²⁵⁸¹ is an apocalyptic number.

It is an amenable number.

12581 is a deficient number, since it is larger than the sum of its proper divisors (571).

12581 is an equidigital number, since it uses as much as digits as its factorization.

12581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570.

The product of its digits is 80, while the sum is 17.

The square root of 12581 is about 112.1650569473. The cubic root of 12581 is about 23.2579654366.

The spelling of 12581 in words is "twelve thousand, five hundred eighty-one".