82505525 has 12 divisors (see below), whose sum is σ = 102569700. Its totient is φ = 65834880.

The previous prime is 82505497. The next prime is 82505557. The reversal of 82505525 is 52550528.

It can be written as a sum of positive squares in 6 ways, for example, as 5750404 + 76755121 = 2398^2 + 8761^2 .

It is not a de Polignac number, because 82505525 - 2⁶ = 82505461 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82505491 and 82505500.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 6191 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (8547475).

Almost surely, 2^82505525 is an apocalyptic number.

It is an amenable number.

82505525 is a deficient number, since it is larger than the sum of its proper divisors (20064175).

82505525 is a wasteful number, since it uses less digits than its factorization.

82505525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 82505525 is about 9083.2551984407. The cubic root of 82505525 is about 435.3391023007.

The spelling of 82505525 in words is "eighty-two million, five hundred five thousand, five hundred twenty-five".