3643536331213 has 2 divisors, whose sum is σ = 3643536331214. Its totient is φ = 3643536331212.

The previous prime is 3643536331181. The next prime is 3643536331219. The reversal of 3643536331213 is 3121336353463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3561512516809 + 82023814404 = 1887197^2 + 286398^2 .

It is an emirp because it is prime and its reverse (3121336353463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3643536331213 - 2⁵ = 3643536331181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3643536331213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3643536331219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1821768165606 + 1821768165607.

It is an arithmetic number, because the mean of its divisors is an integer number (1821768165607).

Almost surely, 2^{3643536331213} is an apocalyptic number.

It is an amenable number.

3643536331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3643536331213 is an equidigital number, since it uses as much as digits as its factorization.

3643536331213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1049760, while the sum is 43.

The spelling of 3643536331213 in words is "three trillion, six hundred forty-three billion, five hundred thirty-six million, three hundred thirty-one thousand, two hundred thirteen".