82520516 has 48 divisors (see below), whose sum is σ = 165752496. Its totient is φ = 35610624.

The previous prime is 82520513. The next prime is 82520539. The reversal of 82520516 is 61502528.

It can be written as a sum of positive squares in 8 ways, for example, as 9486400 + 73034116 = 3080^2 + 8546^2 .

It is not an unprimeable number, because it can be changed into a prime (82520513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244700 + ... + 245036.

It is an arithmetic number, because the mean of its divisors is an integer number (3453177).

Almost surely, 2^82520516 is an apocalyptic number.

It is an amenable number.

82520516 is an abundant number, since it is smaller than the sum of its proper divisors (83231980).

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

82520516 is a wasteful number, since it uses less digits than its factorization.

82520516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 82520516 is about 9084.0803607190. The cubic root of 82520516 is about 435.3654672957.

The spelling of 82520516 in words is "eighty-two million, five hundred twenty thousand, five hundred sixteen".