205541601 has 16 divisors (see below), whose sum is σ = 289597440. Its totient is φ = 129312720.

The previous prime is 205541597. The next prime is 205541617. The reversal of 205541601 is 106145502.

It is not a de Polignac number, because 205541601 - 2² = 205541597 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205541621) 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, 8136 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (18099840).

Almost surely, 2^205541601 is an apocalyptic number.

It is an amenable number.

205541601 is a deficient number, since it is larger than the sum of its proper divisors (84055839).

205541601 is a wasteful number, since it uses less digits than its factorization.

205541601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 205541601 is about 14336.7221149048. The cubic root of 205541601 is about 590.1556622693.

It can be divided in two parts, 20554 and 1601, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 205541601 in words is "two hundred five million, five hundred forty-one thousand, six hundred one".