36131600727 has 12 divisors (see below), whose sum is σ = 52651950624. Its totient is φ = 23874567360.

The previous prime is 36131600723. The next prime is 36131600731. The reversal of 36131600727 is 72700613163.

36131600727 is a `hidden beast` number, since 3 + 613 + 16 + 0 + 0 + 7 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (36131600723) and next prime (36131600731).

It is not a de Polignac number, because 36131600727 - 2² = 36131600723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36131600691 and 36131600700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131600723) 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 11 ways as a sum of consecutive naturals, for example, 17762799 + ... + 17764832.

It is an arithmetic number, because the mean of its divisors is an integer number (4387662552).

Almost surely, 2^36131600727 is an apocalyptic number.

36131600727 is a deficient number, since it is larger than the sum of its proper divisors (16520349897).

36131600727 is a wasteful number, since it uses less digits than its factorization.

36131600727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35527750 (or 35527747 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 36131600727 in words is "thirty-six billion, one hundred thirty-one million, six hundred thousand, seven hundred twenty-seven".