36200242249 has 2 divisors, whose sum is σ = 36200242250. Its totient is φ = 36200242248.

The previous prime is 36200242213. The next prime is 36200242261. The reversal of 36200242249 is 94224200263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30877518400 + 5322723849 = 175720^2 + 72957^2 .

It is a cyclic number.

It is not a de Polignac number, because 36200242249 - 2¹⁷ = 36200111177 is a prime.

It is not a weakly prime, because it can be changed into another prime (36200242349) 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, 18100121124 + 18100121125.

It is an arithmetic number, because the mean of its divisors is an integer number (18100121125).

Almost surely, 2^36200242249 is an apocalyptic number.

It is an amenable number.

36200242249 is a deficient number, since it is larger than the sum of its proper divisors (1).

36200242249 is an equidigital number, since it uses as much as digits as its factorization.

36200242249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 36200242249 in words is "thirty-six billion, two hundred million, two hundred forty-two thousand, two hundred forty-nine".