12583513 has 2 divisors, whose sum is σ = 12583514. Its totient is φ = 12583512.

The previous prime is 12583511. The next prime is 12583517. The reversal of 12583513 is 31538521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12581209 + 2304 = 3547^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583513 - 2¹ = 12583511 is a prime.

Together with 12583511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12583511) 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, 6291756 + 6291757.

It is an arithmetic number, because the mean of its divisors is an integer number (6291757).

Almost surely, 2^12583513 is an apocalyptic number.

It is an amenable number.

12583513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583513 is an equidigital number, since it uses as much as digits as its factorization.

12583513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 28.

The square root of 12583513 is about 3547.3247666375. The cubic root of 12583513 is about 232.5951389264.

It can be divided in two parts, 125 and 83513, that added together give a palindrome (83638).

The spelling of 12583513 in words is "twelve million, five hundred eighty-three thousand, five hundred thirteen".