205137432241 has 27 divisors (see below), whose sum is σ = 241673036139. Its totient is φ = 173617301088.

The previous prime is 205137432223. The next prime is 205137432251. The reversal of 205137432241 is 142234731502.

The square root of 205137432241 is 452921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39390737841 + 165746694400 = 198471^2 + 407120^2 .

It is not a de Polignac number, because 205137432241 - 2⁷ = 205137432113 is a prime.

It is a super-2 number, since 2×205137432241² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205137432197 and 205137432206.

It is not an unprimeable number, because it can be changed into a prime (205137432251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282169420 + ... + 282170146.

Almost surely, 2^205137432241 is an apocalyptic number.

205137432241 is the 452921-st square number.

205137432241 is the 226461-st centered octagonal number.

It is an amenable number.

205137432241 is a deficient number, since it is larger than the sum of its proper divisors (36535603898).

205137432241 is an frugal number, since it uses more digits than its factorization.

205137432241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 205137432241 in words is "two hundred five billion, one hundred thirty-seven million, four hundred thirty-two thousand, two hundred forty-one".