2565536 has 12 divisors (see below), whose sum is σ = 5050962. Its totient is φ = 1282752.

The previous prime is 2565463. The next prime is 2565559. The reversal of 2565536 is 6355652.

It can be written as a sum of positive squares in only one way, i.e., 2421136 + 144400 = 1556^2 + 380^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 80173 = 2565536 / (2 + 5 + 6 + 5 + 5 + 3 + 6).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 5³ + 6⁴ + 5⁷ + 5⁹ + 3¹² + 6⁴ .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40055 + ... + 40118.

2^2565536 is an apocalyptic number.

It is an amenable number.

2565536 is a deficient number, since it is larger than the sum of its proper divisors (2485426).

2565536 is an equidigital number, since it uses as much as digits as its factorization.

2565536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80183 (or 80175 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The square root of 2565536 is about 1601.7290657287. The cubic root of 2565536 is about 136.8966133520.

It can be divided in two parts, 25 and 65536, that multiplied together give a square (1638400 = 1280²).

The spelling of 2565536 in words is "two million, five hundred sixty-five thousand, five hundred thirty-six".