27301283361 has 45 divisors (see below), whose sum is σ = 44854908483. Its totient is φ = 16536318480.

The previous prime is 27301283299. The next prime is 27301283419. The reversal of 27301283361 is 16338210372.

The square root of 27301283361 is 165231.

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

27301283361 is a `hidden beast` number, since 273 + 0 + 1 + 28 + 3 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14563903761 + 12737379600 = 120681^2 + 112860^2 .

It is not a de Polignac number, because 27301283361 - 2¹⁷ = 27301152289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27301283461) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16357035 + ... + 16358703.

Almost surely, 2^27301283361 is an apocalyptic number.

27301283361 is the 165231-st square number.

27301283361 is the 82616-th centered octagonal number.

It is an amenable number.

27301283361 is a deficient number, since it is larger than the sum of its proper divisors (17553625122).

27301283361 is an frugal number, since it uses more digits than its factorization.

27301283361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 27301283361 by its sum of digits (36), we get a square (982846200996 = 991386²).

The spelling of 27301283361 in words is "twenty-seven billion, three hundred one million, two hundred eighty-three thousand, three hundred sixty-one".