2565591 has 24 divisors (see below), whose sum is σ = 4114944. Its totient is φ = 1416240.

The previous prime is 2565569. The next prime is 2565593. The reversal of 2565591 is 1955652.

It is not a de Polignac number, because 2565591 - 2⁵ = 2565559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (171456).

2^2565591 is an apocalyptic number.

2565591 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2565591 is a deficient number, since it is larger than the sum of its proper divisors (1549353).

2565591 is a wasteful number, since it uses less digits than its factorization.

2565591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its digits is 13500, while the sum is 33.

The square root of 2565591 is about 1601.7462345827. The cubic root of 2565591 is about 136.8975916089.

The spelling of 2565591 in words is "two million, five hundred sixty-five thousand, five hundred ninety-one".