205411087729 has 9 divisors (see below), whose sum is σ = 208080411147. Its totient is φ = 202775595984.

The previous prime is 205411087727. The next prime is 205411087793. The reversal of 205411087729 is 927780114502.

The square root of 205411087729 is 453223.

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., 1786330225 + 203624757504 = 42265^2 + 451248^2 .

It is not a de Polignac number, because 205411087729 - 2¹ = 205411087727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205411087727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35801749 + ... + 35807485.

It is an arithmetic number, because the mean of its divisors is an integer number (23120045683).

Almost surely, 2^205411087729 is an apocalyptic number.

205411087729 is the 453223-rd square number.

205411087729 is the 226612-nd centered octagonal number.

It is an amenable number.

205411087729 is a deficient number, since it is larger than the sum of its proper divisors (2669323418).

205411087729 is an frugal number, since it uses more digits than its factorization.

205411087729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 205411087729 in words is "two hundred five billion, four hundred eleven million, eighty-seven thousand, seven hundred twenty-nine".