82866258225 has 45 divisors (see below), whose sum is σ = 153520954257. Its totient is φ = 44188428960.

The previous prime is 82866258157. The next prime is 82866258283. The reversal of 82866258225 is 52285266828.

The square root of 82866258225 is 287865.

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

82866258225 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 625 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45854654769 + 37011603456 = 214137^2 + 192384^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 82866258225 - 2¹⁷ = 82866127153 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 in 44 ways as a sum of consecutive naturals, for example, 12950727 + ... + 12957123.

Almost surely, 2^82866258225 is an apocalyptic number.

82866258225 is the 287865-th square number.

82866258225 is the 143933-rd centered octagonal number.

It is an amenable number.

82866258225 is a deficient number, since it is larger than the sum of its proper divisors (70654696032).

82866258225 is an frugal number, since it uses more digits than its factorization.

82866258225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 6405 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 82866258225 in words is "eighty-two billion, eight hundred sixty-six million, two hundred fifty-eight thousand, two hundred twenty-five".