82584008517252 has 192 divisors, whose sum is σ = 229505813268480. Its totient is φ = 22825486080000.

The previous prime is 82584008517229. The next prime is 82584008517301. The reversal of 82584008517252 is 25271580048528.

It is a junction number, because it is equal to n+sod(n) for n = 82584008517192 and 82584008517201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18858649 + ... + 22821407.

It is an arithmetic number, because the mean of its divisors is an integer number (1195342777440).

Almost surely, 2^{82584008517252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82584008517252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114752906634240).

82584008517252 is an abundant number, since it is smaller than the sum of its proper divisors (146921804751228).

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

82584008517252 is a wasteful number, since it uses less digits than its factorization.

82584008517252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963082 (or 3963080 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 57.

The spelling of 82584008517252 in words is "eighty-two trillion, five hundred eighty-four billion, eight million, five hundred seventeen thousand, two hundred fifty-two".