27536203775025 has 135 divisors (see below), whose sum is σ = 56070359856049. Its totient is φ = 13349627280000.

The previous prime is 27536203774997. The next prime is 27536203775051. The reversal of 27536203775025 is 52057730263572.

The square root of 27536203775025 is 5247495.

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

27536203775025 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 62 + 0 + 3 + 77 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1718870457249 + 25817333317776 = 1311057^2 + 5081076^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 27536203775025 - 2³⁷ = 27398764821553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2597504725 + ... + 2597515325.

Almost surely, 2^{27536203775025} is an apocalyptic number.

27536203775025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27536203775025 is the 5247495-th square number.

27536203775025 is the 2623748-th centered octagonal number.

It is an amenable number.

27536203775025 is an abundant number, since it is smaller than the sum of its proper divisors (28534156081024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27536203775025 is an frugal number, since it uses more digits than its factorization.

27536203775025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21246 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 54.

The spelling of 27536203775025 in words is "twenty-seven trillion, five hundred thirty-six billion, two hundred three million, seven hundred seventy-five thousand, twenty-five".