213306025 has 27 divisors (see below), whose sum is σ = 278693751. Its totient is φ = 161940240.

The previous prime is 213306013. The next prime is 213306029. The reversal of 213306025 is 520603312.

The square root of 213306025 is 14605.

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

It can be written as a sum of positive squares in only one way, i.e., 76790169 + 136515856 = 8763^2 + 11684^2 .

It is not a de Polignac number, because 213306025 - 2⁵ = 213305993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213305987 and 213306005.

It is not an unprimeable number, because it can be changed into a prime (213306029) 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, 1679512 + ... + 1679638.

Almost surely, 2^213306025 is an apocalyptic number.

213306025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213306025 is the 14605-th square number.

213306025 is the 7303-rd centered octagonal number.

It is an amenable number.

213306025 is a deficient number, since it is larger than the sum of its proper divisors (65387726).

213306025 is an equidigital number, since it uses as much as digits as its factorization.

213306025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 213306025 is about 597.4951360166.

Adding to 213306025 its reverse (520603312), we get a palindrome (733909337).

The spelling of 213306025 in words is "two hundred thirteen million, three hundred six thousand, twenty-five".