205525340433 has 24 divisors (see below), whose sum is σ = 339351300288. Its totient is φ = 117418345632.

The previous prime is 205525340413. The next prime is 205525340459. The reversal of 205525340433 is 334043525502.

205525340433 is a `hidden beast` number, since 20 + 552 + 5 + 3 + 40 + 43 + 3 = 666.

205525340433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205525340433 - 2¹³ = 205525332241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205525340413) 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 23 ways as a sum of consecutive naturals, for example, 39166 + ... + 642327.

It is an arithmetic number, because the mean of its divisors is an integer number (14139637512).

Almost surely, 2^205525340433 is an apocalyptic number.

It is an amenable number.

205525340433 is a deficient number, since it is larger than the sum of its proper divisors (133825959855).

205525340433 is a wasteful number, since it uses less digits than its factorization.

205525340433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686293 (or 686290 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 205525340433 its reverse (334043525502), we get a palindrome (539568865935).

The spelling of 205525340433 in words is "two hundred five billion, five hundred twenty-five million, three hundred forty thousand, four hundred thirty-three".