12583638521 has 4 divisors (see below), whose sum is σ = 12583915344. Its totient is φ = 12583361700.

The previous prime is 12583638503. The next prime is 12583638539.

12583638521 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (12583638503) and next prime (12583638539).

It is a cyclic number.

It is not a de Polignac number, because 12583638521 - 2¹⁴ = 12583622137 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12583634521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52415 + ... + 167076.

It is an arithmetic number, because the mean of its divisors is an integer number (3145978836).

Almost surely, 2^12583638521 is an apocalyptic number.

It is an amenable number.

12583638521 is a deficient number, since it is larger than the sum of its proper divisors (276823).

12583638521 is an equidigital number, since it uses as much as digits as its factorization.

12583638521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276822.

The product of its digits is 345600, while the sum is 44.

The spelling of 12583638521 in words is "twelve billion, five hundred eighty-three million, six hundred thirty-eight thousand, five hundred twenty-one".