206338520025 has 81 divisors (see below), whose sum is σ = 406374915037. Its totient is φ = 100006579200.

The previous prime is 206338519997. The next prime is 206338520027. The reversal of 206338520025 is 520025833602.

The square root of 206338520025 is 454245.

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

206338520025 is a `hidden beast` number, since 20 + 63 + 38 + 520 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27805229001 + 178533291024 = 166749^2 + 422532^2 .

It is not a de Polignac number, because 206338520025 - 2²⁹ = 205801649113 is a prime.

It is a super-2 number, since 2×206338520025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206338520027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74949049 + ... + 74951801.

Almost surely, 2^206338520025 is an apocalyptic number.

206338520025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206338520025 is the 454245-th square number.

206338520025 is the 227123-rd centered octagonal number.

It is an amenable number.

206338520025 is a deficient number, since it is larger than the sum of its proper divisors (200036395012).

206338520025 is an equidigital number, since it uses as much as digits as its factorization.

206338520025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 206338520025 by its sum of digits (36), we get a square (7428186720900 = 2725470²).

The spelling of 206338520025 in words is "two hundred six billion, three hundred thirty-eight million, five hundred twenty thousand, twenty-five".