12583421333505 has 48 divisors (see below), whose sum is σ = 23828540748480. Its totient is φ = 6092223292800.

The previous prime is 12583421333467. The next prime is 12583421333591. The reversal of 12583421333505 is 50533312438521.

12583421333505 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 4 + 2 + 133 + 3 + 505 = 666.

It is not a de Polignac number, because 12583421333505 - 2¹⁰ = 12583421332481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18052350 + ... + 18736439.

It is an arithmetic number, because the mean of its divisors is an integer number (496427932260).

Almost surely, 2^{12583421333505} is an apocalyptic number.

12583421333505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12583421333505 is a deficient number, since it is larger than the sum of its proper divisors (11245119414975).

12583421333505 is a wasteful number, since it uses less digits than its factorization.

12583421333505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789502 (or 36789499 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 12583421333505 in words is "twelve trillion, five hundred eighty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, five hundred five".