261038276309041 has 243 divisors, whose sum is σ = 352928764157697. Its totient is φ = 192360127639680.

The previous prime is 261038276309033. The next prime is 261038276309047. The reversal of 261038276309041 is 140903672830162.

It is a happy number.

The square root of 261038276309041 is 16156679.

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

It can be written as a sum of positive squares in 4 ways, for example, as 104205734350641 + 156832541958400 = 10208121^2 + 12523280^2 .

It is not a de Polignac number, because 261038276309041 - 2³ = 261038276309033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261038276309041.

It is not an unprimeable number, because it can be changed into a prime (261038276309047) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2439610058910 + ... + 2439610059016.

Almost surely, 2^{261038276309041} is an apocalyptic number.

261038276309041 is the 16156679-th square number.

261038276309041 is the 8078340-th centered octagonal number.

It is an amenable number.

261038276309041 is a deficient number, since it is larger than the sum of its proper divisors (91890487848656).

261038276309041 is an equidigital number, since it uses as much as digits as its factorization.

261038276309041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 261038276309041 in words is "two hundred sixty-one trillion, thirty-eight billion, two hundred seventy-six million, three hundred nine thousand, forty-one".