213365225 has 12 divisors (see below), whose sum is σ = 266107596. Its totient is φ = 169702080.

The previous prime is 213365171. The next prime is 213365233. The reversal of 213365225 is 522563312.

It can be written as a sum of positive squares in 6 ways, for example, as 41938576 + 171426649 = 6476^2 + 13093^2 .

It is not a de Polignac number, because 213365225 - 2⁶ = 213365161 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20342 + ... + 28991.

It is an arithmetic number, because the mean of its divisors is an integer number (22175633).

Almost surely, 2^213365225 is an apocalyptic number.

213365225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213365225 is a deficient number, since it is larger than the sum of its proper divisors (52742371).

213365225 is a wasteful number, since it uses less digits than its factorization.

213365225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49516 (or 49511 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 213365225 is about 14607.0265625828. The cubic root of 213365225 is about 597.5504062795.

The spelling of 213365225 in words is "two hundred thirteen million, three hundred sixty-five thousand, two hundred twenty-five".