12584235977 has 2 divisors, whose sum is σ = 12584235978. Its totient is φ = 12584235976.

The previous prime is 12584235953. The next prime is 12584236003. The reversal of 12584235977 is 77953248521.

12584235977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9932912896 + 2651323081 = 99664^2 + 51491^2 .

It is an emirp because it is prime and its reverse (77953248521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12584235977 - 2⁶ = 12584235913 is a prime.

It is a super-2 number, since 2×12584235977² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12584232977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292117988 + 6292117989.

It is an arithmetic number, because the mean of its divisors is an integer number (6292117989).

Almost surely, 2^12584235977 is an apocalyptic number.

It is an amenable number.

12584235977 is a deficient number, since it is larger than the sum of its proper divisors (1).

12584235977 is an equidigital number, since it uses as much as digits as its factorization.

12584235977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4233600, while the sum is 53.

The spelling of 12584235977 in words is "twelve billion, five hundred eighty-four million, two hundred thirty-five thousand, nine hundred seventy-seven".