225335133 has 24 divisors (see below), whose sum is σ = 337704120. Its totient is φ = 144614400.

The previous prime is 225335107. The next prime is 225335177. The reversal of 225335133 is 331533522.

It can be written as a sum of positive squares in 4 ways, for example, as 50381604 + 174953529 = 7098^2 + 13227^2 .

It is not a de Polignac number, because 225335133 - 2¹⁴ = 225318749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225335097 and 225335106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225335533) 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, 103585 + ... + 105737.

It is an arithmetic number, because the mean of its divisors is an integer number (14071005).

Almost surely, 2^225335133 is an apocalyptic number.

It is an amenable number.

225335133 is a deficient number, since it is larger than the sum of its proper divisors (112368987).

225335133 is a wasteful number, since it uses less digits than its factorization.

225335133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2586 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 225335133 is about 15011.1669433126. The cubic root of 225335133 is about 608.5220270259.

Adding to 225335133 its reverse (331533522), we get a palindrome (556868655).

The spelling of 225335133 in words is "two hundred twenty-five million, three hundred thirty-five thousand, one hundred thirty-three".