27066501361 has 15 divisors (see below), whose sum is σ = 28388071513. Its totient is φ = 25806450340.

The previous prime is 27066501347. The next prime is 27066501373. The reversal of 27066501361 is 16310566072.

The square root of 27066501361 is 164519.

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

It is not a de Polignac number, because 27066501361 - 2⁹ = 27066500849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27066501361.

It is not an unprimeable number, because it can be changed into a prime (27066501391) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 87030396 + ... + 87030706.

Almost surely, 2^27066501361 is an apocalyptic number.

27066501361 is the 164519-th square number.

27066501361 is the 82260-th centered octagonal number.

It is an amenable number.

27066501361 is a deficient number, since it is larger than the sum of its proper divisors (1321570152).

27066501361 is an frugal number, since it uses more digits than its factorization.

27066501361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 27066501361 in words is "twenty-seven billion, sixty-six million, five hundred one thousand, three hundred sixty-one".