205017460081 has 32 divisors (see below), whose sum is σ = 258077664000. Its totient is φ = 158796460032.

The previous prime is 205017460069. The next prime is 205017460159. The reversal of 205017460081 is 180064710502.

It is not a de Polignac number, because 205017460081 - 2¹¹ = 205017458033 is a prime.

It is a super-2 number, since 2×205017460081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205017460051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451785 + ... + 783673.

It is an arithmetic number, because the mean of its divisors is an integer number (8064927000).

Almost surely, 2^205017460081 is an apocalyptic number.

It is an amenable number.

205017460081 is a deficient number, since it is larger than the sum of its proper divisors (53060203919).

205017460081 is a wasteful number, since it uses less digits than its factorization.

205017460081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332121.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 205017460081 in words is "two hundred five billion, seventeen million, four hundred sixty thousand, eighty-one".