522808225 has 27 divisors (see below), whose sum is σ = 691229227. Its totient is φ = 392180480.

The previous prime is 522808177. The next prime is 522808229.

The square root of 522808225 is 22865.

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

522808225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 13 ways, for example, as 438609249 + 84198976 = 20943^2 + 9176^2 .

It is not a de Polignac number, because 522808225 - 2⁹ = 522807713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (522808229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1943391 + ... + 1943659.

Almost surely, 2^522808225 is an apocalyptic number.

522808225 is the 22865-th square number.

522808225 is the 11433-rd centered octagonal number.

It is an amenable number.

522808225 is a deficient number, since it is larger than the sum of its proper divisors (168421002).

522808225 is an equidigital number, since it uses as much as digits as its factorization.

522808225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The cubic root of 522808225 is about 805.5901309157.

Multiplying 522808225 by its product of nonzero digits (25600), we get a square (13383890560000 = 3658400²).

The spelling of 522808225 in words is "five hundred twenty-two million, eight hundred eight thousand, two hundred twenty-five".