205426542026133 has 24 divisors (see below), whose sum is σ = 305610187954968. Its totient is φ = 132872171046912.

The previous prime is 205426542026131. The next prime is 205426542026141. The reversal of 205426542026133 is 331620245624502.

205426542026133 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 2 + 6 + 5 + 4 + 20 + 2 + 613 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37207535640804 + 168219006385329 = 6099798^2 + 12969927^2 .

It is not a de Polignac number, because 205426542026133 - 2¹ = 205426542026131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205426542026131) 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 23 ways as a sum of consecutive naturals, for example, 873673560 + ... + 873908657.

It is an arithmetic number, because the mean of its divisors is an integer number (12733757831457).

Almost surely, 2^{205426542026133} is an apocalyptic number.

It is an amenable number.

205426542026133 is a deficient number, since it is larger than the sum of its proper divisors (100183645928835).

205426542026133 is a wasteful number, since it uses less digits than its factorization.

205426542026133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747582613 (or 1747582610 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 205426542026133 in words is "two hundred five trillion, four hundred twenty-six billion, five hundred forty-two million, twenty-six thousand, one hundred thirty-three".