12584536607997 has 6 divisors (see below), whose sum is σ = 18177663989342. Its totient is φ = 8389691071992.

The previous prime is 12584536607989. The next prime is 12584536608023. The reversal of 12584536607997 is 79970663548521.

12584536607997 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 4 + 5 + 3 + 6 + 607 + 9 + 9 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9137446798041 + 3447089809956 = 3022821^2 + 1856634^2 .

It is not a de Polignac number, because 12584536607997 - 2³ = 12584536607989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584536608997) 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 5 ways as a sum of consecutive naturals, for example, 699140922658 + ... + 699140922675.

It is a 1-persistent number, because it is pandigital, but 2⋅12584536607997 = 25169073215994 is not.

Almost surely, 2^{12584536607997} is an apocalyptic number.

It is an amenable number.

12584536607997 is a deficient number, since it is larger than the sum of its proper divisors (5593127381345).

12584536607997 is a wasteful number, since it uses less digits than its factorization.

12584536607997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398281845339 (or 1398281845336 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 12584536607997 in words is "twelve trillion, five hundred eighty-four billion, five hundred thirty-six million, six hundred seven thousand, nine hundred ninety-seven".