213305225 has 24 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 145998720.

The previous prime is 213305221. The next prime is 213305251. The reversal of 213305225 is 522503312.

It is not a de Polignac number, because 213305225 - 2² = 213305221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213305225.

It is not an unprimeable number, because it can be changed into a prime (213305221) 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, 166136 + ... + 167414.

It is an arithmetic number, because the mean of its divisors is an integer number (12618240).

Almost surely, 2^213305225 is an apocalyptic number.

213305225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213305225 is a deficient number, since it is larger than the sum of its proper divisors (89532535).

213305225 is a wasteful number, since it uses less digits than its factorization.

213305225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 213305225 is about 14604.9726120935. The cubic root of 213305225 is about 597.4943890511.

Adding to 213305225 its reverse (522503312), we get a palindrome (735808537).

The spelling of 213305225 in words is "two hundred thirteen million, three hundred five thousand, two hundred twenty-five".