2565461 has 2 divisors, whose sum is σ = 2565462. Its totient is φ = 2565460.

The previous prime is 2565449. The next prime is 2565463. The reversal of 2565461 is 1645652.

2565461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2193361 + 372100 = 1481^2 + 610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565461 - 2¹⁴ = 2549077 is a prime.

Together with 2565463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2565463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282730 + 1282731.

It is an arithmetic number, because the mean of its divisors is an integer number (1282731).

2^2565461 is an apocalyptic number.

It is an amenable number.

2565461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565461 is an equidigital number, since it uses as much as digits as its factorization.

2565461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 29.

The square root of 2565461 is about 1601.7056533583. The cubic root of 2565461 is about 136.8952793427.

The spelling of 2565461 in words is "two million, five hundred sixty-five thousand, four hundred sixty-one".