205540006011 has 16 divisors (see below), whose sum is σ = 275563330560. Its totient is φ = 136273631840.

The previous prime is 205540005959. The next prime is 205540006031. The reversal of 205540006011 is 110600045502.

It is a cyclic number.

It is not a de Polignac number, because 205540006011 - 2⁶ = 205540005947 is a prime.

It is a super-2 number, since 2×205540006011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205540006031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176956 + ... + 665126.

It is an arithmetic number, because the mean of its divisors is an integer number (17222708160).

Almost surely, 2^205540006011 is an apocalyptic number.

205540006011 is a deficient number, since it is larger than the sum of its proper divisors (70023324549).

205540006011 is a wasteful number, since it uses less digits than its factorization.

205540006011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488946.

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

The spelling of 205540006011 in words is "two hundred five billion, five hundred forty million, six thousand, eleven".