261760041 has 9 divisors (see below), whose sum is σ = 378167959. Its totient is φ = 174474336.

The previous prime is 261760027. The next prime is 261760043. The reversal of 261760041 is 140067162.

The square root of 261760041 is 16179.

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

261760041 is a `hidden beast` number, since 2 + 6 + 17 + 600 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249482025 + 12278016 = 15795^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 261760041 - 2¹³ = 261751849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 261759987 and 261760014.

It is not an unprimeable number, because it can be changed into a prime (261760043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45841 + ... + 51233.

Almost surely, 2^261760041 is an apocalyptic number.

261760041 is the 16179-th square number.

261760041 is the 8090-th centered octagonal number.

It is an amenable number.

261760041 is a deficient number, since it is larger than the sum of its proper divisors (116407918).

261760041 is an frugal number, since it uses more digits than its factorization.

261760041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 261760041 is about 639.6873806863.

The spelling of 261760041 in words is "two hundred sixty-one million, seven hundred sixty thousand, forty-one".