206066025 has 135 divisors (see below), whose sum is σ = 434527093. Its totient is φ = 96465600.

The previous prime is 206065997. The next prime is 206066033. The reversal of 206066025 is 520660602.

The square root of 206066025 is 14355.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2832489 + 203233536 = 1683^2 + 14256^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 206066025 - 2⁹ = 206065513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 206066025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7105711 + ... + 7105739.

Almost surely, 2^206066025 is an apocalyptic number.

206066025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206066025 is the 14355-th square number.

206066025 is the 7178-th centered octagonal number.

It is an amenable number.

206066025 is an abundant number, since it is smaller than the sum of its proper divisors (228461068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206066025 is a wasteful number, since it uses less digits than its factorization.

206066025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 206066025 is about 590.6571486658.

The spelling of 206066025 in words is "two hundred six million, sixty-six thousand, twenty-five".