206005525 has 48 divisors (see below), whose sum is σ = 289731456. Its totient is φ = 145200000.

The previous prime is 206005523. The next prime is 206005537. The reversal of 206005525 is 525500602.

It is not a de Polignac number, because 206005525 - 2¹ = 206005523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206005525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206005523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364200 + ... + 1364350.

It is an arithmetic number, because the mean of its divisors is an integer number (6036072).

Almost surely, 2^206005525 is an apocalyptic number.

206005525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206005525 is a deficient number, since it is larger than the sum of its proper divisors (83725931).

206005525 is a wasteful number, since it uses less digits than its factorization.

206005525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 206005525 is about 14352.8925656120. The cubic root of 206005525 is about 590.5993383026.

The spelling of 206005525 in words is "two hundred six million, five thousand, five hundred twenty-five".