8282417770561 has 27 divisors (see below), whose sum is σ = 9257662506729. Its totient is φ = 7404310003200.

The previous prime is 8282417770553. The next prime is 8282417770577. The reversal of 8282417770561 is 1650777142828.

It is a happy number.

The square root of 8282417770561 is 2877919.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33459360561 + 8248958410000 = 182919^2 + 2872100^2 .

It is not a de Polignac number, because 8282417770561 - 2³ = 8282417770553 is a prime.

It is a super-2 number, since 2×8282417770561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8282417770496 and 8282417770505.

It is not an unprimeable number, because it can be changed into a prime (8282417770531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1931081505 + ... + 1931085793.

Almost surely, 2^{8282417770561} is an apocalyptic number.

8282417770561 is the 2877919-th square number.

8282417770561 is the 1438960-th centered octagonal number.

It is an amenable number.

8282417770561 is a deficient number, since it is larger than the sum of its proper divisors (975244736168).

8282417770561 is an frugal number, since it uses more digits than its factorization.

8282417770561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 58.

The spelling of 8282417770561 in words is "eight trillion, two hundred eighty-two billion, four hundred seventeen million, seven hundred seventy thousand, five hundred sixty-one".