8082552338289 has 225 divisors, whose sum is σ = 14683160874459. Its totient is φ = 4425501057120.

The previous prime is 8082552338279. The next prime is 8082552338317. The reversal of 8082552338289 is 9828332552808.

The square root of 8082552338289 is 2842983.

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

8082552338289 is a `hidden beast` number, since 8 + 0 + 8 + 25 + 523 + 3 + 8 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1195643837025 + 6886908501264 = 1093455^2 + 2624292^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8082552338289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8082552338269) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 171969198664 + ... + 171969198710.

Almost surely, 2^{8082552338289} is an apocalyptic number.

8082552338289 is the 2842983-rd square number.

8082552338289 is the 1421492-nd centered octagonal number.

It is an amenable number.

8082552338289 is a deficient number, since it is larger than the sum of its proper divisors (6600608536170).

8082552338289 is an frugal number, since it uses more digits than its factorization.

8082552338289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8082552338289 in words is "eight trillion, eighty-two billion, five hundred fifty-two million, three hundred thirty-eight thousand, two hundred eighty-nine".