213265625 has 14 divisors (see below), whose sum is σ = 266598150. Its totient is φ = 170600000.

The previous prime is 213265609. The next prime is 213265643. The reversal of 213265625 is 526562312.

It can be written as a sum of positive squares in 7 ways, for example, as 199007449 + 14258176 = 14107^2 + 3776^2 .

It is not a de Polignac number, because 213265625 - 2⁴ = 213265609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213265591 and 213265600.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8801 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (19042725).

Almost surely, 2^213265625 is an apocalyptic number.

213265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213265625 is a deficient number, since it is larger than the sum of its proper divisors (53332525).

213265625 is an frugal number, since it uses more digits than its factorization.

213265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13679 (or 13654 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 213265625 is about 14603.6168465213. The cubic root of 213265625 is about 597.4574119257.

The spelling of 213265625 in words is "two hundred thirteen million, two hundred sixty-five thousand, six hundred twenty-five".