27813233529 has 27 divisors (see below), whose sum is σ = 42014723023. Its totient is φ = 17728636992.

The previous prime is 27813233507. The next prime is 27813233531. The reversal of 27813233529 is 92533231872.

The square root of 27813233529 is 166773.

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

27813233529 is a `hidden beast` number, since 27 + 81 + 3 + 23 + 3 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27081639225 + 731594304 = 164565^2 + 27048^2 .

It is not a de Polignac number, because 27813233529 - 2³³ = 19223298937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27813233579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11506129 + ... + 11508545.

Almost surely, 2^27813233529 is an apocalyptic number.

27813233529 is the 166773-rd square number.

27813233529 is the 83387-th centered octagonal number.

It is an amenable number.

27813233529 is a deficient number, since it is larger than the sum of its proper divisors (14201489494).

27813233529 is an frugal number, since it uses more digits than its factorization.

27813233529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 2443 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 27813233529 in words is "twenty-seven billion, eight hundred thirteen million, two hundred thirty-three thousand, five hundred twenty-nine".