82516584049 has 3 divisors (see below), whose sum is σ = 82516871307. Its totient is φ = 82516296792.

The previous prime is 82516584011. The next prime is 82516584119. The reversal of 82516584049 is 94048561528.

The square root of 82516584049 is 287257.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2558842225 + 79957741824 = 50585^2 + 282768^2 .

It is not a de Polignac number, because 82516584049 - 2²¹ = 82514486897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82516583987 and 82516584005.

It is not an unprimeable number, because it can be changed into a prime (82516584349) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143629 + ... + 430885.

It is an arithmetic number, because the mean of its divisors is an integer number (27505623769).

Almost surely, 2^82516584049 is an apocalyptic number.

82516584049 is the 287257-th square number.

82516584049 is the 143629-th centered octagonal number.

It is an amenable number.

82516584049 is a deficient number, since it is larger than the sum of its proper divisors (287258).

82516584049 is an frugal number, since it uses more digits than its factorization.

82516584049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574514 (or 287257 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 82516584049 in words is "eighty-two billion, five hundred sixteen million, five hundred eighty-four thousand, forty-nine".