27315164529 has 27 divisors (see below), whose sum is σ = 39968104683. Its totient is φ = 17976413664.

The previous prime is 27315164369. The next prime is 27315164533. The reversal of 27315164529 is 92546151372.

The square root of 27315164529 is 165273.

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

27315164529 is a `hidden beast` number, since 2 + 73 + 1 + 51 + 6 + 4 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5245090929 + 22070073600 = 72423^2 + 148560^2 .

It is not a de Polignac number, because 27315164529 - 2¹⁵ = 27315131761 is a prime.

It is a super-2 number, since 2×27315164529² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27315164029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44127582 + ... + 44128200.

Almost surely, 2^27315164529 is an apocalyptic number.

27315164529 is the 165273-rd square number.

27315164529 is the 82637-th centered octagonal number.

It is an amenable number.

27315164529 is a deficient number, since it is larger than the sum of its proper divisors (12652940154).

27315164529 is an frugal number, since it uses more digits than its factorization.

27315164529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

It can be divided in two parts, 27315 and 164529, that added together give a square (191844 = 438²).

The spelling of 27315164529 in words is "twenty-seven billion, three hundred fifteen million, one hundred sixty-four thousand, five hundred twenty-nine".