261579056704 has 63 divisors (see below), whose sum is σ = 603883337697. Its totient is φ = 112093035264.

The previous prime is 261579056699. The next prime is 261579056731. The reversal of 261579056704 is 407650975162.

The square root of 261579056704 is 511448.

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

261579056704 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 209068417600 + 52510639104 = 457240^2 + 229152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28636522 + ... + 28645654.

Almost surely, 2^261579056704 is an apocalyptic number.

261579056704 is the 511448-th square number.

It is an amenable number.

261579056704 is an abundant number, since it is smaller than the sum of its proper divisors (342304280993).

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

261579056704 is an frugal number, since it uses more digits than its factorization.

261579056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18292 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 261579056704 in words is "two hundred sixty-one billion, five hundred seventy-nine million, fifty-six thousand, seven hundred four".