2065454734561 has 9 divisors (see below), whose sum is σ = 2071544636889. Its totient is φ = 2059382695536.

The previous prime is 2065454734531. The next prime is 2065454734631. The reversal of 2065454734561 is 1654374545602.

The square root of 2065454734561 is 1437169.

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 923292296161 + 1142162438400 = 960881^2 + 1068720^2 .

It is not a de Polignac number, because 2065454734561 - 2¹¹ = 2065454732513 is a prime.

It is a super-2 number, since 2×2065454734561² (a number of 25 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 = 2065454734499 and 2065454734508.

It is not an unprimeable number, because it can be changed into a prime (2065454734531) 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, 536062111 + ... + 536065963.

It is an arithmetic number, because the mean of its divisors is an integer number (230171626321).

Almost surely, 2^{2065454734561} is an apocalyptic number.

2065454734561 is the 1437169-th square number.

2065454734561 is the 718585-th centered octagonal number.

It is an amenable number.

2065454734561 is a deficient number, since it is larger than the sum of its proper divisors (6089902328).

2065454734561 is an frugal number, since it uses more digits than its factorization.

2065454734561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 52.

The spelling of 2065454734561 in words is "two trillion, sixty-five billion, four hundred fifty-four million, seven hundred thirty-four thousand, five hundred sixty-one".