272660464561 has 27 divisors (see below), whose sum is σ = 289920922347. Its totient is φ = 256405865760.

The previous prime is 272660464547. The next prime is 272660464577. The reversal of 272660464561 is 165464066272.

The square root of 272660464561 is 522169.

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., 154775362225 + 117885102336 = 393415^2 + 343344^2 .

It is not a de Polignac number, because 272660464561 - 2¹⁷ = 272660333489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272660464961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 876721596 + ... + 876721906.

Almost surely, 2^272660464561 is an apocalyptic number.

272660464561 is the 522169-th square number.

272660464561 is the 261085-th centered octagonal number.

It is an amenable number.

272660464561 is a deficient number, since it is larger than the sum of its proper divisors (17260457786).

272660464561 is an frugal number, since it uses more digits than its factorization.

272660464561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 272660464561 by its sum of digits (49), we get a square (13360362763489 = 3655183²).

The spelling of 272660464561 in words is "two hundred seventy-two billion, six hundred sixty million, four hundred sixty-four thousand, five hundred sixty-one".