205540434003 has 8 divisors (see below), whose sum is σ = 274640753088. Its totient is φ = 136733535464.

The previous prime is 205540433951. The next prime is 205540434019. The reversal of 205540434003 is 300434045502.

205540434003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205540434003 - 2²⁰ = 205539385427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205540434083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73353501 + ... + 73356302.

It is an arithmetic number, because the mean of its divisors is an integer number (34330094136).

Almost surely, 2^205540434003 is an apocalyptic number.

205540434003 is a deficient number, since it is larger than the sum of its proper divisors (69100319085).

205540434003 is a wasteful number, since it uses less digits than its factorization.

205540434003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146710273.

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 205540434003 its reverse (300434045502), we get a palindrome (505974479505).

The spelling of 205540434003 in words is "two hundred five billion, five hundred forty million, four hundred thirty-four thousand, three".