205525641 has 16 divisors (see below), whose sum is σ = 288878400. Its totient is φ = 129616128.

The previous prime is 205525633. The next prime is 205525703. The reversal of 205525641 is 146525502.

It is not a de Polignac number, because 205525641 - 2³ = 205525633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205525599 and 205525608.

It is not an unprimeable number, because it can be changed into a prime (205525601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43885 + ... + 48341.

It is an arithmetic number, because the mean of its divisors is an integer number (18054900).

Almost surely, 2^205525641 is an apocalyptic number.

It is an amenable number.

205525641 is a deficient number, since it is larger than the sum of its proper divisors (83352759).

205525641 is a wasteful number, since it uses less digits than its factorization.

205525641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288.

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 205525641 is about 14336.1654915113. The cubic root of 205525641 is about 590.1403869704.

The spelling of 205525641 in words is "two hundred five million, five hundred twenty-five thousand, six hundred forty-one".