12588541 has 12 divisors (see below), whose sum is σ = 14728800. Its totient is φ = 10727640.

The previous prime is 12588503. The next prime is 12588553. The reversal of 12588541 is 14588521.

12588541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12588541 - 2¹⁹ = 12064253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12588497 and 12588506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588841) 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, 9106 + ... + 10396.

It is an arithmetic number, because the mean of its divisors is an integer number (1227400).

Almost surely, 2^12588541 is an apocalyptic number.

It is an amenable number.

12588541 is a deficient number, since it is larger than the sum of its proper divisors (2140259).

12588541 is a wasteful number, since it uses less digits than its factorization.

12588541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1497 counting only the distinct ones).

The product of its digits is 12800, while the sum is 34.

The square root of 12588541 is about 3548.0333989409. The cubic root of 12588541 is about 232.6261141829.

The spelling of 12588541 in words is "twelve million, five hundred eighty-eight thousand, five hundred forty-one".