2775605564097 has 24 divisors (see below), whose sum is σ = 4147606131240. Its totient is φ = 1786532267520.

The previous prime is 2775605564093. The next prime is 2775605564107. The reversal of 2775605564097 is 7904655065772.

2775605564097 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 60 + 5 + 564 + 0 + 9 + 7 = 666.

2775605564097 is digitally balanced in base 3, 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 4 ways, for example, as 7345175616 + 2768260388481 = 85704^2 + 1663809^2 .

It is not a de Polignac number, because 2775605564097 - 2² = 2775605564093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2775605564093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7678647 + ... + 8031987.

It is an arithmetic number, because the mean of its divisors is an integer number (172816922135).

Almost surely, 2^{2775605564097} is an apocalyptic number.

It is an amenable number.

2775605564097 is a deficient number, since it is larger than the sum of its proper divisors (1372000567143).

2775605564097 is a wasteful number, since it uses less digits than its factorization.

2775605564097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383473 (or 383470 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 2775605564097 in words is "two trillion, seven hundred seventy-five billion, six hundred five million, five hundred sixty-four thousand, ninety-seven".