206353225 has 45 divisors (see below), whose sum is σ = 294465497. Its totient is φ = 143420160.

The previous prime is 206353223. The next prime is 206353237. The reversal of 206353225 is 522353602.

206353225 = 1³ + 2³ + ... + 169³.

The square root of 206353225 is 14365.

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

It can be written as a sum of positive squares in 22 ways, for example, as 135187129 + 71166096 = 11627^2 + 8436^2 .

It is not a de Polignac number, because 206353225 - 2¹ = 206353223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206353193 and 206353202.

It is not an unprimeable number, because it can be changed into a prime (206353223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12138417 + ... + 12138433.

Almost surely, 2^206353225 is an apocalyptic number.

206353225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206353225 is the 14365-th square number.

206353225 is the 7183-rd centered octagonal number.

It is an amenable number.

206353225 is a deficient number, since it is larger than the sum of its proper divisors (88112272).

206353225 is an frugal number, since it uses more digits than its factorization.

206353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The cubic root of 206353225 is about 590.9314264285.

The spelling of 206353225 in words is "two hundred six million, three hundred fifty-three thousand, two hundred twenty-five".