205501742329 has 9 divisors (see below), whose sum is σ = 222531936879. Its totient is φ = 189688476120.

The previous prime is 205501742323. The next prime is 205501742351. The reversal of 205501742329 is 923247105502.

The square root of 205501742329 is 453323.

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., 30399666025 + 175102076304 = 174355^2 + 418452^2 .

It is not a de Polignac number, because 205501742329 - 2²³ = 205493353721 is a prime.

It is a super-2 number, since 2×205501742329² (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 = 205501742291 and 205501742300.

It is not an unprimeable number, because it can be changed into a prime (205501742323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5875764 + ... + 5910634.

Almost surely, 2^205501742329 is an apocalyptic number.

205501742329 is the 453323-rd square number.

205501742329 is the 226662-nd centered octagonal number.

It is an amenable number.

205501742329 is a deficient number, since it is larger than the sum of its proper divisors (17030194550).

205501742329 is an frugal number, since it uses more digits than its factorization.

205501742329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69768 (or 34884 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 205501742329 in words is "two hundred five billion, five hundred one million, seven hundred forty-two thousand, three hundred twenty-nine".