272959227025 has 9 divisors (see below), whose sum is σ = 338472680763. Its totient is φ = 218365291800.

The previous prime is 272959227001. The next prime is 272959227143. The reversal of 272959227025 is 520722959272.

The square root of 272959227025 is 522455.

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

272959227025 is digitally balanced in base 2, because in such base 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., 98265321729 + 174693905296 = 313473^2 + 417964^2 .

It is not a de Polignac number, because 272959227025 - 2²⁹ = 272422356113 is a prime.

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, 2560030 + ... + 2664520.

Almost surely, 2^272959227025 is an apocalyptic number.

272959227025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272959227025 is the 522455-th square number.

272959227025 is the 261228-th centered octagonal number.

It is an amenable number.

272959227025 is a deficient number, since it is larger than the sum of its proper divisors (65513453738).

272959227025 is an frugal number, since it uses more digits than its factorization.

272959227025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208992 (or 104496 counting only the distinct ones).

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

The spelling of 272959227025 in words is "two hundred seventy-two billion, nine hundred fifty-nine million, two hundred twenty-seven thousand, twenty-five".