82609528365 has 96 divisors (see below), whose sum is σ = 176536039680. Its totient is φ = 34799597568.

The previous prime is 82609528361. The next prime is 82609528373. The reversal of 82609528365 is 56382590628.

82609528365 is a `hidden beast` number, since 8 + 2 + 609 + 5 + 28 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 82609528365 - 2² = 82609528361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82609528361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2411326 + ... + 2445344.

It is an arithmetic number, because the mean of its divisors is an integer number (1838917080).

Almost surely, 2^82609528365 is an apocalyptic number.

It is an amenable number.

82609528365 is an abundant number, since it is smaller than the sum of its proper divisors (93926511315).

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

82609528365 is a wasteful number, since it uses less digits than its factorization.

82609528365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34643 (or 34640 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 82609528365 in words is "eighty-two billion, six hundred nine million, five hundred twenty-eight thousand, three hundred sixty-five".