27053341441 has 9 divisors (see below), whose sum is σ = 31471552899. Its totient is φ = 23187591504.

The previous prime is 27053341429. The next prime is 27053341457. The reversal of 27053341441 is 14414335072.

The square root of 27053341441 is 164479.

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., 21413932225 + 5639409216 = 146335^2 + 75096^2 .

It is not a de Polignac number, because 27053341441 - 2¹³ = 27053333249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27053341397 and 27053341406.

It is not an unprimeable number, because it can be changed into a prime (27053341241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1139605 + ... + 1163101.

It is an arithmetic number, because the mean of its divisors is an integer number (3496839211).

Almost surely, 2^27053341441 is an apocalyptic number.

27053341441 is the 164479-th square number.

27053341441 is the 82240-th centered octagonal number.

It is an amenable number.

27053341441 is a deficient number, since it is larger than the sum of its proper divisors (4418211458).

27053341441 is an frugal number, since it uses more digits than its factorization.

27053341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47008 (or 23504 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 27053341441 in words is "twenty-seven billion, fifty-three million, three hundred forty-one thousand, four hundred forty-one".