206129620225 has 9 divisors (see below), whose sum is σ = 255603544003. Its totient is φ = 164901880120.

The previous prime is 206129620217. The next prime is 206129620237. The reversal of 206129620225 is 522026921602.

The square root of 206129620225 is 454015.

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

206129620225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74206663281 + 131922956944 = 272409^2 + 363212^2 .

It is not a de Polignac number, because 206129620225 - 2³ = 206129620217 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2224674 + ... + 2315476.

Almost surely, 2^206129620225 is an apocalyptic number.

206129620225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206129620225 is the 454015-th square number.

206129620225 is the 227008-th centered octagonal number.

It is an amenable number.

206129620225 is a deficient number, since it is larger than the sum of its proper divisors (49473923778).

206129620225 is an frugal number, since it uses more digits than its factorization.

206129620225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181616 (or 90808 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 206129620225 in words is "two hundred six billion, one hundred twenty-nine million, six hundred twenty thousand, two hundred twenty-five".