36221321761 has 9 divisors (see below), whose sum is σ = 36678977139. Its totient is φ = 35769314136.

The previous prime is 36221321743. The next prime is 36221321767. The reversal of 36221321761 is 16712312263.

The square root of 36221321761 is 190319.

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., 10507275025 + 25714046736 = 102505^2 + 160356^2 .

It is not a de Polignac number, because 36221321761 - 2¹¹ = 36221319713 is a prime.

It is a super-2 number, since 2×36221321761² (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 (36221321767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15795331 + ... + 15797623.

Almost surely, 2^36221321761 is an apocalyptic number.

36221321761 is the 190319-th square number.

36221321761 is the 95160-th centered octagonal number.

It is an amenable number.

36221321761 is a deficient number, since it is larger than the sum of its proper divisors (457655378).

36221321761 is an frugal number, since it uses more digits than its factorization.

36221321761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 2376 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The spelling of 36221321761 in words is "thirty-six billion, two hundred twenty-one million, three hundred twenty-one thousand, seven hundred sixty-one".