2565045765 has 64 divisors (see below), whose sum is σ = 4852120320. Its totient is φ = 1281208320.

The previous prime is 2565045719. The next prime is 2565045817. The reversal of 2565045765 is 5675405652.

2565045765 is a `hidden beast` number, since 25 + 6 + 50 + 4 + 576 + 5 = 666.

2565045765 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2565045765 - 2⁶ = 2565045701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2565045765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481597 + ... + 486893.

It is an arithmetic number, because the mean of its divisors is an integer number (75814380).

Almost surely, 2^2565045765 is an apocalyptic number.

It is an amenable number.

2565045765 is a deficient number, since it is larger than the sum of its proper divisors (2287074555).

2565045765 is a wasteful number, since it uses less digits than its factorization.

2565045765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 2565045765 is about 50646.2808604936. The cubic root of 2565045765 is about 1368.8789317466.

The spelling of 2565045765 in words is "two billion, five hundred sixty-five million, forty-five thousand, seven hundred sixty-five".