27532110881025 has 243 divisors, whose sum is σ = 52562776939491. Its totient is φ = 13774783999680.

The previous prime is 27532110881003. The next prime is 27532110881039. The reversal of 27532110881025 is 52018801123572.

The square root of 27532110881025 is 5247105.

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

27532110881025 is a `hidden beast` number, since 2 + 7 + 532 + 1 + 1 + 0 + 8 + 8 + 102 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9911559917169 + 17620550963856 = 3148263^2 + 4197684^2 .

It is not a de Polignac number, because 27532110881025 - 2¹⁷ = 27532110749953 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 121286831962 + ... + 121286832188.

Almost surely, 2^{27532110881025} is an apocalyptic number.

27532110881025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27532110881025 is the 5247105-th square number.

27532110881025 is the 2623553-rd centered octagonal number.

It is an amenable number.

27532110881025 is a deficient number, since it is larger than the sum of its proper divisors (25030666058466).

27532110881025 is an equidigital number, since it uses as much as digits as its factorization.

27532110881025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 27532110881025 in words is "twenty-seven trillion, five hundred thirty-two billion, one hundred ten million, eight hundred eighty-one thousand, twenty-five".