12588133 has 2 divisors, whose sum is σ = 12588134. Its totient is φ = 12588132.

The previous prime is 12588131. The next prime is 12588137. The reversal of 12588133 is 33188521.

12588133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7717284 + 4870849 = 2778^2 + 2207^2 .

It is a cyclic number.

It is not a de Polignac number, because 12588133 - 2¹ = 12588131 is a prime.

It is a super-2 number, since 2×12588133² = 316922184851378, which contains 22 as substring.

Together with 12588131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12588095 and 12588104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12588131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6294066 + 6294067.

It is an arithmetic number, because the mean of its divisors is an integer number (6294067).

Almost surely, 2^12588133 is an apocalyptic number.

It is an amenable number.

12588133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12588133 is an equidigital number, since it uses as much as digits as its factorization.

12588133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5760, while the sum is 31.

The square root of 12588133 is about 3547.9759018347. The cubic root of 12588133 is about 232.6236009852.

It can be divided in two parts, 12588 and 133, that added together give a palindrome (12721).

The spelling of 12588133 in words is "twelve million, five hundred eighty-eight thousand, one hundred thirty-three".