27527787225 has 63 divisors (see below), whose sum is σ = 51219948493. Its totient is φ = 14669540640.

The previous prime is 27527787193. The next prime is 27527787229. The reversal of 27527787225 is 52278772572.

It is a happy number.

The square root of 27527787225 is 165915.

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

27527787225 is a `hidden beast` number, since 2 + 75 + 277 + 87 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7019255961 + 20508531264 = 83781^2 + 143208^2 .

It is not a de Polignac number, because 27527787225 - 2⁵ = 27527787193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27527787229) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 22397911 + ... + 22399139.

Almost surely, 2^27527787225 is an apocalyptic number.

27527787225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27527787225 is the 165915-th square number.

27527787225 is the 82958-th centered octagonal number.

It is an amenable number.

27527787225 is a deficient number, since it is larger than the sum of its proper divisors (23692161268).

27527787225 is an frugal number, since it uses more digits than its factorization.

27527787225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 1237 counting only the distinct ones).

The product of its digits is 7683200, while the sum is 54.

The spelling of 27527787225 in words is "twenty-seven billion, five hundred twenty-seven million, seven hundred eighty-seven thousand, two hundred twenty-five".