82595886025 has 27 divisors (see below), whose sum is σ = 103279561653. Its totient is φ = 65526060000.

The previous prime is 82595886011. The next prime is 82595886047. The reversal of 82595886025 is 52068859528.

It is a happy number.

The square root of 82595886025 is 287395.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11272705929 + 71323180096 = 106173^2 + 267064^2 .

It is not a de Polignac number, because 82595886025 - 2¹⁵ = 82595853257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 329067150 + ... + 329067400.

Almost surely, 2^82595886025 is an apocalyptic number.

82595886025 is the 287395-th square number.

82595886025 is the 143698-th centered octagonal number.

It is an amenable number.

82595886025 is a deficient number, since it is larger than the sum of its proper divisors (20683675628).

82595886025 is an frugal number, since it uses more digits than its factorization.

82595886025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 58.

The spelling of 82595886025 in words is "eighty-two billion, five hundred ninety-five million, eight hundred eighty-six thousand, twenty-five".