205053313041 has 6 divisors (see below), whose sum is σ = 296188118850. Its totient is φ = 136702208688.

The previous prime is 205053313039. The next prime is 205053313043. The reversal of 205053313041 is 140313350502.

205053313041 is a `hidden beast` number, since 20 + 5 + 0 + 5 + 331 + 304 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (205053313039) and next prime (205053313043).

It can be written as a sum of positive squares in only one way, i.e., 190048043025 + 15005270016 = 435945^2 + 122496^2 .

It is not a de Polignac number, because 205053313041 - 2¹ = 205053313039 is a prime.

It is a super-2 number, since 2×205053313041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205053312996 and 205053313014.

It is not an unprimeable number, because it can be changed into a prime (205053313043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11391850716 + ... + 11391850733.

It is an arithmetic number, because the mean of its divisors is an integer number (49364686475).

Almost surely, 2^205053313041 is an apocalyptic number.

It is an amenable number.

205053313041 is a deficient number, since it is larger than the sum of its proper divisors (91134805809).

205053313041 is a wasteful number, since it uses less digits than its factorization.

205053313041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22783701455 (or 22783701452 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 205053313041 its reverse (140313350502), we get a palindrome (345366663543).

The spelling of 205053313041 in words is "two hundred five billion, fifty-three million, three hundred thirteen thousand, forty-one".