82519520 has 96 divisors (see below), whose sum is σ = 204374016. Its totient is φ = 31449600.

The previous prime is 82519517. The next prime is 82519523. The reversal of 82519520 is 2591528.

It is an interprime number because it is at equal distance from previous prime (82519517) and next prime (82519523).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82519523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629855 + ... + 629985.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 2^82519520 is an apocalyptic number.

82519520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82519520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

82519520 is an abundant number, since it is smaller than the sum of its proper divisors (121854496).

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

82519520 is a wasteful number, since it uses less digits than its factorization.

82519520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 82519520 is about 9084.0255393740. The cubic root of 82519520 is about 435.3637157081.

It can be divided in two parts, 8251 and 9520, that added together give a palindrome (17771).

The spelling of 82519520 in words is "eighty-two million, five hundred nineteen thousand, five hundred twenty".