12583601 has 2 divisors, whose sum is σ = 12583602. Its totient is φ = 12583600.

The previous prime is 12583591. The next prime is 12583603. The reversal of 12583601 is 10638521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10758400 + 1825201 = 3280^2 + 1351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12583601 is a prime.

Together with 12583603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12583603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291800 + 6291801.

It is an arithmetic number, because the mean of its divisors is an integer number (6291801).

Almost surely, 2^12583601 is an apocalyptic number.

It is an amenable number.

12583601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583601 is an equidigital number, since it uses as much as digits as its factorization.

12583601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12583601 is about 3547.3371703293. The cubic root of 12583601 is about 232.5956811260.

The spelling of 12583601 in words is "twelve million, five hundred eighty-three thousand, six hundred one".