36453702400013 has 2 divisors, whose sum is σ = 36453702400014. Its totient is φ = 36453702400012.

The previous prime is 36453702399971. The next prime is 36453702400069. The reversal of 36453702400013 is 31000420735463.

36453702400013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22564761056644 + 13888941343369 = 4750238^2 + 3726787^2 .

It is a cyclic number.

It is not a de Polignac number, because 36453702400013 - 2¹⁴ = 36453702383629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36453702400013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36453732400013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18226851200006 + 18226851200007.

It is an arithmetic number, because the mean of its divisors is an integer number (18226851200007).

Almost surely, 2^{36453702400013} is an apocalyptic number.

It is an amenable number.

36453702400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36453702400013 is an equidigital number, since it uses as much as digits as its factorization.

36453702400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 36453702400013 in words is "thirty-six trillion, four hundred fifty-three billion, seven hundred two million, four hundred thousand, thirteen".