261346910841 has 81 divisors (see below), whose sum is σ = 409481651397. Its totient is φ = 160605189360.

The previous prime is 261346910821. The next prime is 261346910863. The reversal of 261346910841 is 148019643162.

The square root of 261346910841 is 511221.

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

261346910841 is a `hidden beast` number, since 261 + 346 + 9 + 1 + 0 + 8 + 41 = 666.

It is not a de Polignac number, because 261346910841 - 2³⁵ = 226987172473 is a prime.

It is a super-2 number, since 2×261346910841² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261346910821) 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 80 ways as a sum of consecutive naturals, for example, 1093501600 + ... + 1093501838.

Almost surely, 2^261346910841 is an apocalyptic number.

261346910841 is the 511221-st square number.

261346910841 is the 255611-st centered octagonal number.

It is an amenable number.

261346910841 is a deficient number, since it is larger than the sum of its proper divisors (148134740556).

261346910841 is an equidigital number, since it uses as much as digits as its factorization.

261346910841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 261346910841 in words is "two hundred sixty-one billion, three hundred forty-six million, nine hundred ten thousand, eight hundred forty-one".