82532533300320 has 96 divisors (see below), whose sum is σ = 264882715447392. Its totient is φ = 21593417510912.

The previous prime is 82532533300307. The next prime is 82532533300351. The reversal of 82532533300320 is 2300333523528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×82532533300320³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622076237 + ... + 1622127116.

It is an arithmetic number, because the mean of its divisors is an integer number (2759194952577).

Almost surely, 2^{82532533300320} is an apocalyptic number.

82532533300320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82532533300320 is an abundant number, since it is smaller than the sum of its proper divisors (182350182147072).

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

82532533300320 is a wasteful number, since it uses less digits than its factorization.

82532533300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244203424 (or 3244203416 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 82532533300320 its reverse (2300333523528), we get a palindrome (84832866823848).

The spelling of 82532533300320 in words is "eighty-two trillion, five hundred thirty-two billion, five hundred thirty-three million, three hundred thousand, three hundred twenty".