36584561681 has 8 divisors (see below), whose sum is σ = 37839803904. Its totient is φ = 35334012960.

The previous prime is 36584561677. The next prime is 36584561711. The reversal of 36584561681 is 18616548563.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 36584561681 - 2² = 36584561677 is a prime.

It is a super-2 number, since 2×36584561681² (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 (36584561581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157516 + ... + 1188701.

It is an arithmetic number, because the mean of its divisors is an integer number (4729975488).

Almost surely, 2^36584561681 is an apocalyptic number.

36584561681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36584561681 is a deficient number, since it is larger than the sum of its proper divisors (1255242223).

36584561681 is a wasteful number, since it uses less digits than its factorization.

36584561681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346751.

The product of its digits is 4147200, while the sum is 53.

The spelling of 36584561681 in words is "thirty-six billion, five hundred eighty-four million, five hundred sixty-one thousand, six hundred eighty-one".