12813588 has 18 divisors (see below), whose sum is σ = 32389994. Its totient is φ = 4271184.

The previous prime is 12813587. The next prime is 12813589. The reversal of 12813588 is 88531821.

It is an interprime number because it is at equal distance from previous prime (12813587) and next prime (12813589).

It can be written as a sum of positive squares in only one way, i.e., 8225424 + 4588164 = 2868^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 355933 = 12813588 / (1 + 2 + 8 + 1 + 3 + 5 + 8 + 8).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813587) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177931 + ... + 178002.

Almost surely, 2^12813588 is an apocalyptic number.

12813588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12813588 is an abundant number, since it is smaller than the sum of its proper divisors (19576406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12813588 is a wasteful number, since it uses less digits than its factorization.

12813588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355943 (or 355938 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 12813588 is about 3579.6072410252. The cubic root of 12813588 is about 234.0041638531.

The spelling of 12813588 in words is "twelve million, eight hundred thirteen thousand, five hundred eighty-eight".