36540642001 has 2 divisors, whose sum is σ = 36540642002. Its totient is φ = 36540642000.

The previous prime is 36540641983. The next prime is 36540642049. The reversal of 36540642001 is 10024604563.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36194682001 + 345960000 = 190249^2 + 18600^2 .

It is an emirp because it is prime and its reverse (10024604563) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36540642001 is a prime.

It is not a weakly prime, because it can be changed into another prime (36540642301) 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, 18270321000 + 18270321001.

It is an arithmetic number, because the mean of its divisors is an integer number (18270321001).

Almost surely, 2^36540642001 is an apocalyptic number.

It is an amenable number.

36540642001 is a deficient number, since it is larger than the sum of its proper divisors (1).

36540642001 is an equidigital number, since it uses as much as digits as its factorization.

36540642001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 36540642001 in words is "thirty-six billion, five hundred forty million, six hundred forty-two thousand, one".