272249150625 has 105 divisors (see below), whose sum is σ = 510731184799. Its totient is φ = 145011708000.

The previous prime is 272249150617. The next prime is 272249150629. The reversal of 272249150625 is 526051942272.

The square root of 272249150625 is 521775.

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

272249150625 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 4 + 9 + 15 + 0 + 625 = 666.

272249150625 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 7 ways, for example, as 272023790481 + 225360144 = 521559^2 + 15012^2 .

It is not a de Polignac number, because 272249150625 - 2³ = 272249150617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272249150629) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 352197739 + ... + 352198511.

Almost surely, 2^272249150625 is an apocalyptic number.

272249150625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272249150625 is the 521775-th square number.

272249150625 is the 260888-th centered octagonal number.

It is an amenable number.

272249150625 is a deficient number, since it is larger than the sum of its proper divisors (238482034174).

272249150625 is an frugal number, since it uses more digits than its factorization.

272249150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 272249150625 in words is "two hundred seventy-two billion, two hundred forty-nine million, one hundred fifty thousand, six hundred twenty-five".