27638281025 has 12 divisors (see below), whose sum is σ = 34275475500. Its totient is φ = 22108039680.

The previous prime is 27638281009. The next prime is 27638281109. The reversal of 27638281025 is 52018283672.

It can be written as a sum of positive squares in 6 ways, for example, as 32126224 + 27606154801 = 5668^2 + 166151^2 .

It is not a de Polignac number, because 27638281025 - 2⁴ = 27638281009 is a prime.

It is a super-3 number, since 3×27638281025³ (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170201 + ... + 290249.

It is an arithmetic number, because the mean of its divisors is an integer number (2856289625).

Almost surely, 2^27638281025 is an apocalyptic number.

27638281025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27638281025 is a deficient number, since it is larger than the sum of its proper divisors (6637194475).

27638281025 is a wasteful number, since it uses less digits than its factorization.

27638281025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129268 (or 129263 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 27638281025 in words is "twenty-seven billion, six hundred thirty-eight million, two hundred eighty-one thousand, twenty-five".