36289544801 has 2 divisors, whose sum is σ = 36289544802. Its totient is φ = 36289544800.

The previous prime is 36289544749. The next prime is 36289544813. The reversal of 36289544801 is 10844598263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25670448400 + 10619096401 = 160220^2 + 103049^2 .

It is an emirp because it is prime and its reverse (10844598263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36289544801 - 2¹⁸ = 36289282657 is a prime.

It is a super-2 number, since 2×36289544801² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36289544801.

It is not a weakly prime, because it can be changed into another prime (36289544701) 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, 18144772400 + 18144772401.

It is an arithmetic number, because the mean of its divisors is an integer number (18144772401).

Almost surely, 2^36289544801 is an apocalyptic number.

It is an amenable number.

36289544801 is a deficient number, since it is larger than the sum of its proper divisors (1).

36289544801 is an equidigital number, since it uses as much as digits as its factorization.

36289544801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 36289544801 in words is "thirty-six billion, two hundred eighty-nine million, five hundred forty-four thousand, eight hundred one".