27269568225 has 81 divisors (see below), whose sum is σ = 49787939019. Its totient is φ = 14267664000.

The previous prime is 27269568197. The next prime is 27269568239. The reversal of 27269568225 is 52286596272.

The square root of 27269568225 is 165135.

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

27269568225 is a `hidden beast` number, since 2 + 72 + 6 + 9 + 568 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 521619921 + 26747948304 = 22839^2 + 163548^2 .

It is not a de Polignac number, because 27269568225 - 2¹³ = 27269560033 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 250179471 + ... + 250179579.

Almost surely, 2^27269568225 is an apocalyptic number.

27269568225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27269568225 is the 165135-th square number.

27269568225 is the 82568-th centered octagonal number.

It is an amenable number.

27269568225 is a deficient number, since it is larger than the sum of its proper divisors (22518370794).

27269568225 is a wasteful number, since it uses less digits than its factorization.

27269568225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 27269568225 in words is "twenty-seven billion, two hundred sixty-nine million, five hundred sixty-eight thousand, two hundred twenty-five".