12583421333517 has 32 divisors (see below), whose sum is σ = 17686350858240. Its totient is φ = 7935994440000.

The previous prime is 12583421333467. The next prime is 12583421333591. The reversal of 12583421333517 is 71533312438521.

It is a happy number.

It is not a de Polignac number, because 12583421333517 - 2¹² = 12583421329421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12583421313517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231664792 + ... + 231719102.

It is an arithmetic number, because the mean of its divisors is an integer number (552698464320).

Almost surely, 2^{12583421333517} is an apocalyptic number.

It is an amenable number.

12583421333517 is a deficient number, since it is larger than the sum of its proper divisors (5102929524723).

12583421333517 is a wasteful number, since it uses less digits than its factorization.

12583421333517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60105.

The product of its digits is 1814400, while the sum is 48.

The spelling of 12583421333517 in words is "twelve trillion, five hundred eighty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, five hundred seventeen".