52265456225 has 24 divisors (see below), whose sum is σ = 66535746648. Its totient is φ = 40702924800.

The previous prime is 52265456209. The next prime is 52265456227.

52265456225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 23381773921 + 28883682304 = 152911^2 + 169952^2 .

It is not a de Polignac number, because 52265456225 - 2⁴ = 52265456209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52265456227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412637 + ... + 524213.

It is an arithmetic number, because the mean of its divisors is an integer number (2772322777).

Almost surely, 2^52265456225 is an apocalyptic number.

It is an amenable number.

52265456225 is a deficient number, since it is larger than the sum of its proper divisors (14270290423).

52265456225 is a wasteful number, since it uses less digits than its factorization.

52265456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112085 (or 112080 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 52265456225 in words is "fifty-two billion, two hundred sixty-five million, four hundred fifty-six thousand, two hundred twenty-five".