27975541434481 has 9 divisors (see below), whose sum is σ = 28225906520331. Its totient is φ = 27727377881952.

The previous prime is 27975541434473. The next prime is 27975541434487. The reversal of 27975541434481 is 18443414557972.

The square root of 27975541434481 is 5289191.

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., 492951431025 + 27482590003456 = 702105^2 + 5242384^2 .

It is not a de Polignac number, because 27975541434481 - 2³ = 27975541434473 is a prime.

It is a super-2 number, since 2×27975541434481² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27975541434487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 597655180 + ... + 597701986.

Almost surely, 2^{27975541434481} is an apocalyptic number.

27975541434481 is the 5289191-st square number.

27975541434481 is the 2644596-th centered octagonal number.

It is an amenable number.

27975541434481 is a deficient number, since it is larger than the sum of its proper divisors (250365085850).

27975541434481 is an frugal number, since it uses more digits than its factorization.

27975541434481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93840 (or 46920 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 64.

The spelling of 27975541434481 in words is "twenty-seven trillion, nine hundred seventy-five billion, five hundred forty-one million, four hundred thirty-four thousand, four hundred eighty-one".