82526500 has 192 divisors, whose sum is σ = 232727040. Its totient is φ = 24883200.

The previous prime is 82526497. The next prime is 82526527. The reversal of 82526500 is 562528.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 63 ways as a sum of consecutive naturals, for example, 1130464 + ... + 1130536.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 2^82526500 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 82526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

82526500 is an abundant number, since it is smaller than the sum of its proper divisors (150200540).

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

82526500 is a wasteful number, since it uses less digits than its factorization.

82526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 82526500 is about 9084.4097221559. The cubic root of 82526500 is about 435.3759905939.

The spelling of 82526500 in words is "eighty-two million, five hundred twenty-six thousand, five hundred".