205215552441 has 12 divisors (see below), whose sum is σ = 296492811732. Its totient is φ = 136777900416.

The previous prime is 205215552439. The next prime is 205215552467. The reversal of 205215552441 is 144255512502.

205215552441 is a `hidden beast` number, since 2 + 0 + 52 + 15 + 552 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150082634025 + 55132918416 = 387405^2 + 234804^2 .

It is not a de Polignac number, because 205215552441 - 2¹ = 205215552439 is a prime.

It is a super-2 number, since 2×205215552441² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205215552396 and 205215552405.

It is not an unprimeable number, because it can be changed into a prime (205215552491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2665596 + ... + 2741501.

It is an arithmetic number, because the mean of its divisors is an integer number (24707734311).

Almost surely, 2^205215552441 is an apocalyptic number.

It is an amenable number.

205215552441 is a deficient number, since it is larger than the sum of its proper divisors (91277259291).

205215552441 is a wasteful number, since it uses less digits than its factorization.

205215552441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411320 (or 5411317 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 205215552441 in words is "two hundred five billion, two hundred fifteen million, five hundred fifty-two thousand, four hundred forty-one".