2567565 has 128 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 933120.

The previous prime is 2567557. The next prime is 2567569. The reversal of 2567565 is 5657652.

It is not a de Polignac number, because 2567565 - 2³ = 2567557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135126 + ... + 135144.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^2567565 is an apocalyptic number.

It is an amenable number.

2567565 is an abundant number, since it is smaller than the sum of its proper divisors (3883635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2567565 is a wasteful number, since it uses less digits than its factorization.

2567565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 2567565 is about 1602.3623185784. The cubic root of 2567565 is about 136.9326928867.

The spelling of 2567565 in words is "two million, five hundred sixty-seven thousand, five hundred sixty-five".