2665771332961 has 9 divisors (see below), whose sum is σ = 2930165090643. Its totient is φ = 2423412157320.

The previous prime is 2665771332937. The next prime is 2665771332971. The reversal of 2665771332961 is 1692331775662.

The square root of 2665771332961 is 1632719.

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

2665771332961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 438931425361 + 2226839907600 = 662519^2 + 1492260^2 .

It is not a de Polignac number, because 2665771332961 - 2²⁹ = 2665234462049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2665771332896 and 2665771332905.

It is not an unprimeable number, because it can be changed into a prime (2665771332971) 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, 17885695 + ... + 18034123.

Almost surely, 2^{2665771332961} is an apocalyptic number.

2665771332961 is the 1632719-th square number.

2665771332961 is the 816360-th centered octagonal number.

It is an amenable number.

2665771332961 is a deficient number, since it is larger than the sum of its proper divisors (264393757682).

2665771332961 is an frugal number, since it uses more digits than its factorization.

2665771332961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296880 (or 148440 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 58.

The spelling of 2665771332961 in words is "two trillion, six hundred sixty-five billion, seven hundred seventy-one million, three hundred thirty-two thousand, nine hundred sixty-one".