261270273116449 has 27 divisors (see below), whose sum is σ = 269589445893747. Its totient is φ = 253202811268464.

The previous prime is 261270273116443. The next prime is 261270273116507. The reversal of 261270273116449 is 944611372072162.

The square root of 261270273116449 is 16163857.

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., 233788228318225 + 27482044798224 = 15290135^2 + 5242332^2 .

It is not a de Polignac number, because 261270273116449 - 2³ = 261270273116441 is a prime.

It is a super-2 number, since 2×261270273116449² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 261270273116449.

It is not an unprimeable number, because it can be changed into a prime (261270273116441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183605250952 + ... + 183605252374.

It is an arithmetic number, because the mean of its divisors is an integer number (9984794292361).

Almost surely, 2^{261270273116449} is an apocalyptic number.

261270273116449 is the 16163857-th square number.

261270273116449 is the 8081929-th centered octagonal number.

It is an amenable number.

261270273116449 is a deficient number, since it is larger than the sum of its proper divisors (8319172777298).

261270273116449 is an frugal number, since it uses more digits than its factorization.

261270273116449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 261270273116449 in words is "two hundred sixty-one trillion, two hundred seventy billion, two hundred seventy-three million, one hundred sixteen thousand, four hundred forty-nine".