261068506000 has 80 divisors (see below), whose sum is σ = 638356932720. Its totient is φ = 103253990400.

The previous prime is 261068505949. The next prime is 261068506019. The reversal of 261068506000 is 605860162.

It can be written as a sum of positive squares in 8 ways, for example, as 146434798224 + 114633707776 = 382668^2 + 338576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 555339 + ... + 911338.

It is an arithmetic number, because the mean of its divisors is an integer number (7979461659).

Almost surely, 2^261068506000 is an apocalyptic number.

261068506000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261068506000 is an abundant number, since it is smaller than the sum of its proper divisors (377288426720).

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

261068506000 is a wasteful number, since it uses less digits than its factorization.

261068506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466789 (or 1466773 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 261068506000 in words is "two hundred sixty-one billion, sixty-eight million, five hundred six thousand".