23005405305 has 24 divisors (see below), whose sum is σ = 39893605128. Its totient is φ = 12264143616.

The previous prime is 23005405301. The next prime is 23005405349. The reversal of 23005405305 is 50350450032.

23005405305 is a `hidden beast` number, since 2 + 300 + 54 + 0 + 5 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6879707136 + 16125698169 = 82944^2 + 126987^2 .

It is not a de Polignac number, because 23005405305 - 2² = 23005405301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23005405301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8292 + ... + 214661.

It is an arithmetic number, because the mean of its divisors is an integer number (1662233547).

Almost surely, 2^23005405305 is an apocalyptic number.

It is an amenable number.

23005405305 is a deficient number, since it is larger than the sum of its proper divisors (16888199823).

23005405305 is a wasteful number, since it uses less digits than its factorization.

23005405305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225257 (or 225254 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 23005405305 its reverse (50350450032), we get a palindrome (73355855337).

The spelling of 23005405305 in words is "twenty-three billion, five million, four hundred five thousand, three hundred five".