36830709706561 has 9 divisors (see below), whose sum is σ = 36884381566179. Its totient is φ = 36777115860000.

The previous prime is 36830709706537. The next prime is 36830709706579. The reversal of 36830709706561 is 16560790703863.

The square root of 36830709706561 is 6068831.

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., 12559716272961 + 24270993433600 = 3543969^2 + 4926560^2 .

It is not a de Polignac number, because 36830709706561 - 2⁵ = 36830709706529 is a prime.

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 36830709706561.

It is not an unprimeable number, because it can be changed into a prime (36830709706261) 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, 4557688041 + ... + 4557696121.

Almost surely, 2^{36830709706561} is an apocalyptic number.

36830709706561 is the 6068831-st square number.

36830709706561 is the 3034416-th centered octagonal number.

It is an amenable number.

36830709706561 is a deficient number, since it is larger than the sum of its proper divisors (53671859618).

36830709706561 is an frugal number, since it uses more digits than its factorization.

36830709706561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17664 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 36830709706561 in words is "thirty-six trillion, eight hundred thirty billion, seven hundred nine million, seven hundred six thousand, five hundred sixty-one".