27544381225 has 27 divisors (see below), whose sum is σ = 36067923927. Its totient is φ = 20863792080.

The previous prime is 27544381217. The next prime is 27544381247. The reversal of 27544381225 is 52218344572.

The square root of 27544381225 is 165965.

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., 9915977241 + 17628403984 = 99579^2 + 132772^2 .

It is not a de Polignac number, because 27544381225 - 2³ = 27544381217 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 26 ways as a sum of consecutive naturals, for example, 15765802 + ... + 15767548.

Almost surely, 2^27544381225 is an apocalyptic number.

27544381225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27544381225 is the 165965-th square number.

27544381225 is the 82983-rd centered octagonal number.

It is an amenable number.

27544381225 is a deficient number, since it is larger than the sum of its proper divisors (8523542702).

27544381225 is an frugal number, since it uses more digits than its factorization.

27544381225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its digits is 537600, while the sum is 43.

The spelling of 27544381225 in words is "twenty-seven billion, five hundred forty-four million, three hundred eighty-one thousand, two hundred twenty-five".