261646061006756 has 24 divisors (see below), whose sum is σ = 458687466425496. Its totient is φ = 130592512327680.

The previous prime is 261646061006731. The next prime is 261646061006801. The reversal of 261646061006756 is 657600160646162.

It can be written as a sum of positive squares in 4 ways, for example, as 26040445704256 + 235605615302500 = 5102984^2 + 15349450^2 .

It is a super-2 number, since 2×261646061006756² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78786140 + ... + 82039916.

It is an arithmetic number, because the mean of its divisors is an integer number (19111977767729).

Almost surely, 2^{261646061006756} is an apocalyptic number.

It is an amenable number.

261646061006756 is a deficient number, since it is larger than the sum of its proper divisors (197041405418740).

261646061006756 is a wasteful number, since it uses less digits than its factorization.

261646061006756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289199 (or 3289197 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 261646061006756 in words is "two hundred sixty-one trillion, six hundred forty-six billion, sixty-one million, six thousand, seven hundred fifty-six".