52225 has 6 divisors (see below), whose sum is σ = 64790. Its totient is φ = 41760.

The previous prime is 52223. The next prime is 52237.

52225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 10609 + 41616 = 103^2 + 204^2 .

It is not a de Polignac number, because 52225 - 2¹ = 52223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52199 and 52208.

It is not an unprimeable number, because it can be changed into a prime (52223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1020 + ... + 1069.

It is a Proth number, since it is equal to 51 ⋅ 2¹⁰ + 1 and 51 < 2¹⁰.

2⁵²²²⁵ is an apocalyptic number.

It is an amenable number.

52225 is a deficient number, since it is larger than the sum of its proper divisors (12565).

52225 is a wasteful number, since it uses less digits than its factorization.

52225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2094 counting only the distinct ones).

The product of its digits is 200, while the sum is 16.

The square root of 52225 is about 228.5278976405. The cubic root of 52225 is about 37.3788684042.

Adding to 52225 its product of digits (200), we get a palindrome (52425).

Subtracting from 52225 its product of digits (200), we obtain a palindrome (52025).

The spelling of 52225 in words is "fifty-two thousand, two hundred twenty-five".