82000532250 has 864 divisors, whose sum is σ = 291418440768. Its totient is φ = 17195068800.

The previous prime is 82000532161. The next prime is 82000532267. The reversal of 82000532250 is 5223500028.

82000532250 is a `hidden beast` number, since 82 + 0 + 0 + 0 + 532 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 503070669 + ... + 503070831.

It is an arithmetic number, because the mean of its divisors is an integer number (337289862).

Almost surely, 2^82000532250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82000532250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145709220384).

82000532250 is an abundant number, since it is smaller than the sum of its proper divisors (209417908518).

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

82000532250 is a wasteful number, since it uses less digits than its factorization.

82000532250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 82000532250 in words is "eighty-two billion, five hundred thirty-two thousand, two hundred fifty".