82525653 has 18 divisors (see below), whose sum is σ = 138666294. Its totient is φ = 47157264.

The previous prime is 82525631. The next prime is 82525669. The reversal of 82525653 is 35652528.

It is a happy number.

82525653 is a `hidden beast` number, since 82 + 525 + 6 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64352484 + 18173169 = 8022^2 + 4263^2 .

It is not a de Polignac number, because 82525653 - 2⁶ = 82525589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82525613) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 93126 + ... + 94007.

It is an arithmetic number, because the mean of its divisors is an integer number (7703683).

Almost surely, 2^82525653 is an apocalyptic number.

It is an amenable number.

82525653 is a deficient number, since it is larger than the sum of its proper divisors (56140641).

82525653 is a wasteful number, since it uses less digits than its factorization.

82525653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187153 (or 187143 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 82525653 is about 9084.3631037074. The cubic root of 82525653 is about 435.3745011139.

The spelling of 82525653 in words is "eighty-two million, five hundred twenty-five thousand, six hundred fifty-three".