82511000 has 128 divisors (see below), whose sum is σ = 227223360. Its totient is φ = 27648000.

The previous prime is 82510973. The next prime is 82511021. The reversal of 82511000 is 11528.

It is a self number, because there is not a number n which added to its sum of digits gives 82511000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142712 + ... + 143288.

Almost surely, 2^82511000 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 82511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113611680).

82511000 is an abundant number, since it is smaller than the sum of its proper divisors (144712360).

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

82511000 is a wasteful number, since it uses less digits than its factorization.

82511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 82511000 is about 9083.5565721803. The cubic root of 82511000 is about 435.3487316715.

Adding to 82511000 its reverse (11528), we get a palindrome (82522528).

The spelling of 82511000 in words is "eighty-two million, five hundred eleven thousand".