82513806336 has 132 divisors (see below), whose sum is σ = 256584645772. Its totient is φ = 25388826624.

The previous prime is 82513806313. The next prime is 82513806337. The reversal of 82513806336 is 63360831528.

82513806336 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 3 + 8 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44160500736 + 38353305600 = 210144^2 + 195840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82513806291 and 82513806300.

It is not an unprimeable number, because it can be changed into a prime (82513806337) 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 11 ways as a sum of consecutive naturals, for example, 224551 + ... + 464166.

Almost surely, 2^82513806336 is an apocalyptic number.

It is an amenable number.

82513806336 is an abundant number, since it is smaller than the sum of its proper divisors (174070839436).

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

82513806336 is a wasteful number, since it uses less digits than its factorization.

82513806336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688756 (or 688735 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 82513806336 in words is "eighty-two billion, five hundred thirteen million, eight hundred six thousand, three hundred thirty-six".