82578643225 has 27 divisors (see below), whose sum is σ = 110905238199. Its totient is φ = 60967358400.

The previous prime is 82578643219. The next prime is 82578643261. The reversal of 82578643225 is 52234687528.

The square root of 82578643225 is 287365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 55167205129 + 27411438096 = 234877^2 + 165564^2 .

It is not a de Polignac number, because 82578643225 - 2¹⁷ = 82578512153 is a prime.

It is a super-3 number, since 3×82578643225³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18676515 + ... + 18680935.

Almost surely, 2^82578643225 is an apocalyptic number.

82578643225 is the 287365-th square number.

82578643225 is the 143683-rd centered octagonal number.

It is an amenable number.

82578643225 is a deficient number, since it is larger than the sum of its proper divisors (28326594974).

82578643225 is an frugal number, since it uses more digits than its factorization.

82578643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 4439 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 52.

The spelling of 82578643225 in words is "eighty-two billion, five hundred seventy-eight million, six hundred forty-three thousand, two hundred twenty-five".