582049166049 has 24 divisors (see below), whose sum is σ = 907188707880. Its totient is φ = 357480364032.

The previous prime is 582049166047. The next prime is 582049166051. The reversal of 582049166049 is 940661940285.

582049166049 is a `hidden beast` number, since 5 + 8 + 20 + 4 + 9 + 1 + 6 + 604 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (582049166047) and next prime (582049166051).

It can be written as a sum of positive squares in 4 ways, for example, as 147185424 + 581901980625 = 12132^2 + 762825^2 .

It is not a de Polignac number, because 582049166049 - 2¹ = 582049166047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 582049165986 and 582049166004.

It is not an unprimeable number, because it can be changed into a prime (582049166047) 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 23 ways as a sum of consecutive naturals, for example, 4827264 + ... + 4946369.

It is an arithmetic number, because the mean of its divisors is an integer number (37799529495).

Almost surely, 2^582049166049 is an apocalyptic number.

It is an amenable number.

582049166049 is a deficient number, since it is larger than the sum of its proper divisors (325139541831).

582049166049 is a wasteful number, since it uses less digits than its factorization.

582049166049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774161 (or 9774158 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 582049166049 in words is "five hundred eighty-two billion, forty-nine million, one hundred sixty-six thousand, forty-nine".