82130633325 has 144 divisors (see below), whose sum is σ = 170495868816. Its totient is φ = 37429862400.

The previous prime is 82130633317. The next prime is 82130633327. The reversal of 82130633325 is 52333603128.

82130633325 is a `hidden beast` number, since 8 + 2 + 13 + 0 + 633 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 64720886409 + 17409746916 = 254403^2 + 131946^2 .

It is not a de Polignac number, because 82130633325 - 2³ = 82130633317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82130633325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82130633327) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3019687 + ... + 3046763.

It is an arithmetic number, because the mean of its divisors is an integer number (1183999089).

Almost surely, 2^82130633325 is an apocalyptic number.

82130633325 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82130633325 is an abundant number, since it is smaller than the sum of its proper divisors (88365235491).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82130633325 is a wasteful number, since it uses less digits than its factorization.

82130633325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184 (or 27176 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 82130633325 in words is "eighty-two billion, one hundred thirty million, six hundred thirty-three thousand, three hundred twenty-five".