2565726409 has 7 divisors (see below), whose sum is σ = 2636996587. Its totient is φ = 2496382452.

The previous prime is 2565726407. The next prime is 2565726421. The reversal of 2565726409 is 9046275652.

The square root of 2565726409 is 50653.

The cubic root of 2565726409 is 1369.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

2565726409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 770340025 + 1795386384 = 27755^2 + 42372^2 .

It is not a de Polignac number, because 2565726409 - 2¹ = 2565726407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2565726403) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 69343939 + ... + 69343975.

Almost surely, 2^2565726409 is an apocalyptic number.

2565726409 is the 50653-rd square number.

2565726409 is the 25327-th centered octagonal number.

It is an amenable number.

2565726409 is a deficient number, since it is larger than the sum of its proper divisors (71270178).

2565726409 is an frugal number, since it uses more digits than its factorization.

2565726409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 2565726409 in words is "two billion, five hundred sixty-five million, seven hundred twenty-six thousand, four hundred nine".