36096580081 has 9 divisors (see below), whose sum is σ = 36272029131. Its totient is φ = 35921978352.

The previous prime is 36096580043. The next prime is 36096580147. The reversal of 36096580081 is 18008569063.

The square root of 36096580081 is 189991.

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

It can be written as a sum of positive squares in only one way, i.e., 230280625 + 35866299456 = 15175^2 + 189384^2 .

It is not a de Polignac number, because 36096580081 - 2³³ = 27506645489 is a prime.

It is a super-2 number, since 2×36096580081² (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 (36096580001) 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 8 ways as a sum of consecutive naturals, for example, 59466880 + ... + 59467486.

It is an arithmetic number, because the mean of its divisors is an integer number (4030225459).

Almost surely, 2^36096580081 is an apocalyptic number.

36096580081 is the 189991-st square number.

36096580081 is the 94996-th centered octagonal number.

It is an amenable number.

36096580081 is a deficient number, since it is larger than the sum of its proper divisors (175449050).

36096580081 is an frugal number, since it uses more digits than its factorization.

36096580081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 36096580081 in words is "thirty-six billion, ninety-six million, five hundred eighty thousand, eighty-one".