27835251921 has 27 divisors (see below), whose sum is σ = 42448482921. Its totient is φ = 17574152904.

The previous prime is 27835251893. The next prime is 27835251931. The reversal of 27835251921 is 12915253872.

The square root of 27835251921 is 166839.

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

27835251921 is a `hidden beast` number, since 2 + 7 + 83 + 52 + 519 + 2 + 1 = 666.

It is not a de Polignac number, because 27835251921 - 2¹³ = 27835243729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27835251931) 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, 9508360 + ... + 9511286.

Almost surely, 2^27835251921 is an apocalyptic number.

27835251921 is the 166839-th square number.

27835251921 is the 83420-th centered octagonal number.

It is an amenable number.

27835251921 is a deficient number, since it is larger than the sum of its proper divisors (14613231000).

27835251921 is an frugal number, since it uses more digits than its factorization.

27835251921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 2949 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 27835251921 in words is "twenty-seven billion, eight hundred thirty-five million, two hundred fifty-one thousand, nine hundred twenty-one".