27081639225 has 189 divisors, whose sum is σ = 53644887037. Its totient is φ = 13554889920.

The previous prime is 27081639223. The next prime is 27081639259. The reversal of 27081639225 is 52293618072.

The square root of 27081639225 is 164565.

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

27081639225 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 1 + 639 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204004089 + 26877635136 = 14283^2 + 163944^2 .

It is not a de Polignac number, because 27081639225 - 2¹ = 27081639223 is a prime.

It is a super-2 number, since 2×27081639225² (a number of 22 digits) contains 22 as substring.

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 (27081639223) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 510974299 + ... + 510974351.

Almost surely, 2^27081639225 is an apocalyptic number.

27081639225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27081639225 is the 164565-th square number.

27081639225 is the 82283-rd centered octagonal number.

It is an amenable number.

27081639225 is a deficient number, since it is larger than the sum of its proper divisors (26563247812).

27081639225 is an frugal number, since it uses more digits than its factorization.

27081639225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27081639225 in words is "twenty-seven billion, eighty-one million, six hundred thirty-nine thousand, two hundred twenty-five".