27735631131 has 8 divisors (see below), whose sum is σ = 39825521680. Its totient is φ = 17068080672.

The previous prime is 27735631093. The next prime is 27735631141. The reversal of 27735631131 is 13113653772.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27735631131 - 2⁶ = 27735631067 is a prime.

It is a super-2 number, since 2×27735631131² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 711170029 = 27735631131 / (2 + 7 + 7 + 3 + 5 + 6 + 3 + 1 + 1 + 3 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27735631131.

It is not an unprimeable number, because it can be changed into a prime (27735631141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355584976 + ... + 355585053.

It is an arithmetic number, because the mean of its divisors is an integer number (4978190210).

Almost surely, 2^27735631131 is an apocalyptic number.

27735631131 is a deficient number, since it is larger than the sum of its proper divisors (12089890549).

27735631131 is a wasteful number, since it uses less digits than its factorization.

27735631131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711170045.

The product of its digits is 79380, while the sum is 39.

The spelling of 27735631131 in words is "twenty-seven billion, seven hundred thirty-five million, six hundred thirty-one thousand, one hundred thirty-one".