205540434001 has 16 divisors (see below), whose sum is σ = 247292697600. Its totient is φ = 166887457488.

The previous prime is 205540433951. The next prime is 205540434019. The reversal of 205540434001 is 100434045502.

It is a cyclic number.

It is not a de Polignac number, because 205540434001 - 2²¹ = 205538336849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205540434401) 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, 1272276 + ... + 1424698.

It is an arithmetic number, because the mean of its divisors is an integer number (15455793600).

Almost surely, 2^205540434001 is an apocalyptic number.

It is an amenable number.

205540434001 is a deficient number, since it is larger than the sum of its proper divisors (41752263599).

205540434001 is a wasteful number, since it uses less digits than its factorization.

205540434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162588.

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 205540434001 its reverse (100434045502), we get a palindrome (305974479503).

The spelling of 205540434001 in words is "two hundred five billion, five hundred forty million, four hundred thirty-four thousand, one".