206829396225 has 27 divisors (see below), whose sum is σ = 370466648643. Its totient is φ = 110305373040.

The previous prime is 206829396211. The next prime is 206829396247. The reversal of 206829396225 is 522693928602.

The square root of 206829396225 is 454785.

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

206829396225 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 2 + 9 + 3 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74458582641 + 132370813584 = 272871^2 + 363828^2 .

It is not a de Polignac number, because 206829396225 - 2¹⁹ = 206828871937 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6806616 + ... + 6836934.

Almost surely, 2^206829396225 is an apocalyptic number.

206829396225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206829396225 is the 454785-th square number.

206829396225 is the 227393-rd centered octagonal number.

It is an amenable number.

206829396225 is a deficient number, since it is larger than the sum of its proper divisors (163637252418).

206829396225 is an frugal number, since it uses more digits than its factorization.

206829396225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60654 (or 30327 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 206829396225 in words is "two hundred six billion, eight hundred twenty-nine million, three hundred ninety-six thousand, two hundred twenty-five".