2082482772561 has 81 divisors (see below), whose sum is σ = 3173835823977. Its totient is φ = 1315743532560.

The previous prime is 2082482772511. The next prime is 2082482772563. The reversal of 2082482772561 is 1652772842802.

It is a happy number.

The square root of 2082482772561 is 1443081.

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

2082482772561 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 4 + 8 + 2 + 7 + 72 + 561 = 666.

It is not a de Polignac number, because 2082482772561 - 2¹¹ = 2082482770513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2082482772498 and 2082482772507.

It is not an unprimeable number, because it can be changed into a prime (2082482772563) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7918185316 + ... + 7918185578.

Almost surely, 2^{2082482772561} is an apocalyptic number.

2082482772561 is the 1443081-st square number.

2082482772561 is the 721541-st centered octagonal number.

It is an amenable number.

2082482772561 is a deficient number, since it is larger than the sum of its proper divisors (1091353051416).

2082482772561 is an frugal number, since it uses more digits than its factorization.

2082482772561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2082482772561 in words is "two trillion, eighty-two billion, four hundred eighty-two million, seven hundred seventy-two thousand, five hundred sixty-one".