206374861225 has 81 divisors (see below), whose sum is σ = 288184616109. Its totient is φ = 146534169600.

The previous prime is 206374861201. The next prime is 206374861237. The reversal of 206374861225 is 522168473602.

The square root of 206374861225 is 454285.

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

It can be written as a sum of positive squares in 40 ways, for example, as 194337260569 + 12037600656 = 440837^2 + 109716^2 .

It is not a de Polignac number, because 206374861225 - 2⁵ = 206374861193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 856327105 + ... + 856327345.

Almost surely, 2^206374861225 is an apocalyptic number.

206374861225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206374861225 is the 454285-th square number.

206374861225 is the 227143-rd centered octagonal number.

It is an amenable number.

206374861225 is a deficient number, since it is larger than the sum of its proper divisors (81809754884).

206374861225 is an equidigital number, since it uses as much as digits as its factorization.

206374861225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 206374861225 in words is "two hundred six billion, three hundred seventy-four million, eight hundred sixty-one thousand, two hundred twenty-five".