27735904681 has 3 divisors (see below), whose sum is σ = 27736071223. Its totient is φ = 27735738140.

The previous prime is 27735904673. The next prime is 27735904687. The reversal of 27735904681 is 18640953772.

The square root of 27735904681 is 166541.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 11824605081 + 15911299600 = 108741^2 + 126140^2 .

It is not a de Polignac number, because 27735904681 - 2³ = 27735904673 is a prime.

It is a super-2 number, since 2×27735904681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27735904687) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 83271 + ... + 249811.

It is a 2-persistent number, because it is pandigital, and so is 2⋅27735904681 = 55471809362, but 3⋅27735904681 = 83207714043 is not.

Almost surely, 2^27735904681 is an apocalyptic number.

27735904681 is the 166541-st square number.

27735904681 is the 83271-st centered octagonal number.

It is an amenable number.

27735904681 is a deficient number, since it is larger than the sum of its proper divisors (166542).

27735904681 is an frugal number, since it uses more digits than its factorization.

27735904681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333082 (or 166541 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 27735904681 in words is "twenty-seven billion, seven hundred thirty-five million, nine hundred four thousand, six hundred eighty-one".