27133007841 has 9 divisors (see below), whose sum is σ = 39192836241. Its totient is φ = 18088342452.

The previous prime is 27133007819. The next prime is 27133007857. The reversal of 27133007841 is 14870033172.

The square root of 27133007841 is 164721.

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

27133007841 is a `hidden beast` number, since 271 + 3 + 300 + 7 + 84 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27133007841 - 2⁵ = 27133007809 is a prime.

It is a super-2 number, since 2×27133007841² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27133007796 and 27133007805.

It is not an unprimeable number, because it can be changed into a prime (27133007801) 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, 466710 + ... + 521616.

Almost surely, 2^27133007841 is an apocalyptic number.

27133007841 is the 164721-st square number.

27133007841 is the 82361-st centered octagonal number.

It is an amenable number.

27133007841 is a deficient number, since it is larger than the sum of its proper divisors (12059828400).

27133007841 is an frugal number, since it uses more digits than its factorization.

27133007841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109820 (or 54910 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 27133007841 by its sum of digits (36), we get a square (976788282276 = 988326²).

Multiplying 27133007841 by its product of nonzero digits (28224), we get a square (765802013304384 = 27673128²).

The spelling of 27133007841 in words is "twenty-seven billion, one hundred thirty-three million, seven thousand, eight hundred forty-one".