36354266245313 has 2 divisors, whose sum is σ = 36354266245314. Its totient is φ = 36354266245312.

The previous prime is 36354266245307. The next prime is 36354266245327. The reversal of 36354266245313 is 31354266245363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30653408048704 + 5700858196609 = 5536552^2 + 2387647^2 .

It is an emirp because it is prime and its reverse (31354266245363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36354266245313 - 2²⁶ = 36354199136449 is a prime.

It is a super-3 number, since 3×36354266245313³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (36354262245313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18177133122656 + 18177133122657.

It is an arithmetic number, because the mean of its divisors is an integer number (18177133122657).

Almost surely, 2^{36354266245313} is an apocalyptic number.

It is an amenable number.

36354266245313 is a deficient number, since it is larger than the sum of its proper divisors (1).

36354266245313 is an equidigital number, since it uses as much as digits as its factorization.

36354266245313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27993600, while the sum is 53.

The spelling of 36354266245313 in words is "thirty-six trillion, three hundred fifty-four billion, two hundred sixty-six million, two hundred forty-five thousand, three hundred thirteen".