36251210100361 has 2 divisors, whose sum is σ = 36251210100362. Its totient is φ = 36251210100360.

The previous prime is 36251210100341. The next prime is 36251210100389. The reversal of 36251210100361 is 16300101215263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36239725763136 + 11484337225 = 6019944^2 + 107165^2 .

It is a cyclic number.

It is not a de Polignac number, because 36251210100361 - 2³⁹ = 35701454286473 is a prime.

It is not a weakly prime, because it can be changed into another prime (36251210100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18125605050180 + 18125605050181.

It is an arithmetic number, because the mean of its divisors is an integer number (18125605050181).

Almost surely, 2^{36251210100361} is an apocalyptic number.

It is an amenable number.

36251210100361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36251210100361 is an equidigital number, since it uses as much as digits as its factorization.

36251210100361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 36251210100361 in words is "thirty-six trillion, two hundred fifty-one billion, two hundred ten million, one hundred thousand, three hundred sixty-one".