2565875367225 has 81 divisors (see below), whose sum is σ = 4805306483887. Its totient is φ = 1308686380320.

The previous prime is 2565875367217. The next prime is 2565875367269. The reversal of 2565875367225 is 5227635785652.

The square root of 2565875367225 is 1601835.

It is a perfect power (a square), and thus also a powerful number.

2565875367225 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 8 + 7 + 536 + 72 + 25 = 666.

2565875367225 is digitally balanced in base 3, 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 only one way, i.e., 923715132201 + 1642160235024 = 961101^2 + 1281468^2 .

It is not a de Polignac number, because 2565875367225 - 2³ = 2565875367217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 552630754 + ... + 552635396.

Almost surely, 2^{2565875367225} is an apocalyptic number.

2565875367225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2565875367225 is the 1601835-th square number.

2565875367225 is the 800918-th centered octagonal number.

It is an amenable number.

2565875367225 is a deficient number, since it is larger than the sum of its proper divisors (2239431116662).

2565875367225 is an frugal number, since it uses more digits than its factorization.

2565875367225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 4674 counting only the distinct ones).

The product of its digits is 211680000, while the sum is 63.

The spelling of 2565875367225 in words is "two trillion, five hundred sixty-five billion, eight hundred seventy-five million, three hundred sixty-seven thousand, two hundred twenty-five".