12580309 has 12 divisors (see below), whose sum is σ = 14838924. Its totient is φ = 10632384.

The previous prime is 12580303. The next prime is 12580313. The reversal of 12580309 is 90308521.

12580309 = 218² + 219² + ... + 363².

12580309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 2480625 = 3178^2 + 1575^2 .

It is not a de Polignac number, because 12580309 - 2³ = 12580301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580301) 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, 1819 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (1236577).

Almost surely, 2^12580309 is an apocalyptic number.

It is an amenable number.

12580309 is a deficient number, since it is larger than the sum of its proper divisors (2258615).

12580309 is an equidigital number, since it uses as much as digits as its factorization.

12580309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 12580309 is about 3546.8731299555. The cubic root of 12580309 is about 232.5753962127.

The spelling of 12580309 in words is "twelve million, five hundred eighty thousand, three hundred nine".