3536321621121 has 9 divisors (see below), whose sum is σ = 5108028268291. Its totient is φ = 2357543986392.

The previous prime is 3536321621083. The next prime is 3536321621141. The reversal of 3536321621121 is 1211261236353.

The square root of 3536321621121 is 1880511.

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

3536321621121 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 3 + 2 + 1 + 621 + 1 + 21 = 666.

3536321621121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3510283280625 + 26038340496 = 1873575^2 + 161364^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3536321621121 - 2¹⁵ = 3536321588353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3536321621141) 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, 5328115 + ... + 5954951.

Almost surely, 2^{3536321621121} is an apocalyptic number.

3536321621121 is the 1880511-st square number.

3536321621121 is the 940256-th centered octagonal number.

It is an amenable number.

3536321621121 is a deficient number, since it is larger than the sum of its proper divisors (1571706647170).

3536321621121 is an frugal number, since it uses more digits than its factorization.

3536321621121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253680 (or 626840 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Multiplying 3536321621121 by its sum of digits (36), we get a square (127307578360356 = 11283066²).

Adding to 3536321621121 its reverse (1211261236353), we get a palindrome (4747582857474).

The spelling of 3536321621121 in words is "three trillion, five hundred thirty-six billion, three hundred twenty-one million, six hundred twenty-one thousand, one hundred twenty-one".