206525641 has 9 divisors (see below), whose sum is σ = 240361191. Its totient is φ = 176935752.

The previous prime is 206525623. The next prime is 206525647. The reversal of 206525641 is 146525602.

The square root of 206525641 is 14371.

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

206525641 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., 106605625 + 99920016 = 10325^2 + 9996^2 .

It is not a de Polignac number, because 206525641 - 2¹³ = 206517449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206525647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99571 + ... + 101623.

It is an arithmetic number, because the mean of its divisors is an integer number (26706799).

Almost surely, 2^206525641 is an apocalyptic number.

206525641 is the 14371-st square number.

206525641 is the 7186-th centered octagonal number.

It is an amenable number.

206525641 is a deficient number, since it is larger than the sum of its proper divisors (33835550).

206525641 is an frugal number, since it uses more digits than its factorization.

206525641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 206525641 is about 591.0959625363.

Multiplying 206525641 by its product of nonzero digits (14400), we get a square (2973969230400 = 1724520²).

The spelling of 206525641 in words is "two hundred six million, five hundred twenty-five thousand, six hundred forty-one".