82519056 has 45 divisors (see below), whose sum is σ = 231244221. Its totient is φ = 27470016.

The previous prime is 82519051. The next prime is 82519061. The reversal of 82519056 is 65091528.

It is a happy number.

The square root of 82519056 is 9084.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82519051) and next prime (82519061).

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 31539456 = 7140^2 + 5616^2 .

It is a super-2 number, since 2×82519056² = 13618789206262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82519056.

It is not an unprimeable number, because it can be changed into a prime (82519051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108630 + ... + 109386.

Almost surely, 2^82519056 is an apocalyptic number.

82519056 is the 9084-th square number.

It is an amenable number.

82519056 is an abundant number, since it is smaller than the sum of its proper divisors (148725165).

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

82519056 is an equidigital number, since it uses as much as digits as its factorization.

82519056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 82519056 is about 435.3628997026.

Multiplying 82519056 by its sum of digits (36), we get a square (2970686016 = 54504²).

82519056 divided by its sum of digits (36) gives a square (2292196 = 1514²).

It can be divided in two parts, 825 and 19056, that added together give a square (19881 = 141²).

The spelling of 82519056 in words is "eighty-two million, five hundred nineteen thousand, fifty-six".