508849675569 has 81 divisors (see below), whose sum is σ = 795976178881. Its totient is φ = 313183476480.

The previous prime is 508849675541. The next prime is 508849675601. The reversal of 508849675569 is 965576948805.

The square root of 508849675569 is 713337.

It is a perfect power (a square), and thus also a powerful number.

508849675569 is a `hidden beast` number, since 5 + 0 + 8 + 8 + 4 + 9 + 67 + 556 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330985047969 + 177864627600 = 575313^2 + 421740^2 .

It is not a de Polignac number, because 508849675569 - 2²⁷ = 508715457841 is a prime.

It is a super-2 number, since 2×508849675569² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 508849675497 and 508849675506.

It is not an unprimeable number, because it can be changed into a prime (508849675769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2582993179 + ... + 2582993375.

Almost surely, 2^508849675569 is an apocalyptic number.

508849675569 is the 713337-th square number.

508849675569 is the 356669-th centered octagonal number.

It is an amenable number.

508849675569 is a deficient number, since it is larger than the sum of its proper divisors (287126503312).

508849675569 is an equidigital number, since it uses as much as digits as its factorization.

508849675569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 508849675569 in words is "five hundred eight billion, eight hundred forty-nine million, six hundred seventy-five thousand, five hundred sixty-nine".