82981058265 has 36 divisors (see below), whose sum is σ = 167316913764. Its totient is φ = 37934197056.

The previous prime is 82981058239. The next prime is 82981058267. The reversal of 82981058265 is 56285018928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10919414016 + 72061644249 = 104496^2 + 268443^2 .

It is not a de Polignac number, because 82981058265 - 2⁶ = 82981058201 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82981058267) 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 35 ways as a sum of consecutive naturals, for example, 18814362 + ... + 18818771.

It is an arithmetic number, because the mean of its divisors is an integer number (4647692049).

Almost surely, 2^82981058265 is an apocalyptic number.

It is an amenable number.

82981058265 is an abundant number, since it is smaller than the sum of its proper divisors (84335855499).

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

82981058265 is a wasteful number, since it uses less digits than its factorization.

82981058265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37633158 (or 37633148 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 82981058265 in words is "eighty-two billion, nine hundred eighty-one million, fifty-eight thousand, two hundred sixty-five".