261185226752 has 108 divisors (see below), whose sum is σ = 547050513555. Its totient is φ = 124660264960.

The previous prime is 261185226751. The next prime is 261185226779. The reversal of 261185226752 is 257622581162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 130592613376 + 130592613376 = 361376^2 + 361376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=361376.

It is a Duffinian number.

Its product of digits (806400) is a multiple of the sum of its prime factors (1050).

It is a junction number, because it is equal to n+sod(n) for n = 261185226697 and 261185226706.

It is not an unprimeable number, because it can be changed into a prime (261185226751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 531945227 + ... + 531945717.

Almost surely, 2^261185226752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261185226752

261185226752 is an abundant number, since it is smaller than the sum of its proper divisors (285865286803).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261185226752 is an frugal number, since it uses more digits than its factorization.

261185226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 516 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The spelling of 261185226752 in words is "two hundred sixty-one billion, one hundred eighty-five million, two hundred twenty-six thousand, seven hundred fifty-two".