36200082341 has 2 divisors, whose sum is σ = 36200082342. Its totient is φ = 36200082340.

The previous prime is 36200082277. The next prime is 36200082403. The reversal of 36200082341 is 14328000263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21984289441 + 14215792900 = 148271^2 + 119230^2 .

It is a cyclic number.

It is not a de Polignac number, because 36200082341 - 2⁶ = 36200082277 is a prime.

It is a super-3 number, since 3×36200082341³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36200088341) 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, 18100041170 + 18100041171.

It is an arithmetic number, because the mean of its divisors is an integer number (18100041171).

Almost surely, 2^36200082341 is an apocalyptic number.

It is an amenable number.

36200082341 is a deficient number, since it is larger than the sum of its proper divisors (1).

36200082341 is an equidigital number, since it uses as much as digits as its factorization.

36200082341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 36200082341 in words is "thirty-six billion, two hundred million, eighty-two thousand, three hundred forty-one".