27735238521 has 27 divisors (see below), whose sum is σ = 41047147557. Its totient is φ = 18046166040.

The previous prime is 27735238493. The next prime is 27735238577. The reversal of 27735238521 is 12583253772.

The square root of 27735238521 is 166539.

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

27735238521 is a `hidden beast` number, since 2 + 7 + 73 + 52 + 3 + 8 + 521 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-27735238521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27735218521) 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, 21482886 + ... + 21484176.

Almost surely, 2^27735238521 is an apocalyptic number.

27735238521 is the 166539-th square number.

27735238521 is the 83270-th centered octagonal number.

It is an amenable number.

27735238521 is a deficient number, since it is larger than the sum of its proper divisors (13311909036).

27735238521 is an frugal number, since it uses more digits than its factorization.

27735238521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1337 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

It can be divided in two parts, 27735 and 238521, that added together give a square (266256 = 516²).

The spelling of 27735238521 in words is "twenty-seven billion, seven hundred thirty-five million, two hundred thirty-eight thousand, five hundred twenty-one".