204257805350641 has 45 divisors (see below), whose sum is σ = 244931902240011. Its totient is φ = 170324668500336.

The previous prime is 204257805350611. The next prime is 204257805350647. The reversal of 204257805350641 is 146053508752402.

The square root of 204257805350641 is 14291879.

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., 182772689229025 + 21485116121616 = 13519345^2 + 4635204^2 .

It is not a de Polignac number, because 204257805350641 - 2¹⁵ = 204257805317873 is a prime.

It is a super-2 number, since 2×204257805350641² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204257805350647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25911172686 + ... + 25911180568.

Almost surely, 2^{204257805350641} is an apocalyptic number.

204257805350641 is the 14291879-th square number.

204257805350641 is the 7145940-th centered octagonal number.

It is an amenable number.

204257805350641 is a deficient number, since it is larger than the sum of its proper divisors (40674096889370).

204257805350641 is an frugal number, since it uses more digits than its factorization.

204257805350641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 204257805350641 in words is "two hundred four trillion, two hundred fifty-seven billion, eight hundred five million, three hundred fifty thousand, six hundred forty-one".