36083361100601 has 2 divisors, whose sum is σ = 36083361100602. Its totient is φ = 36083361100600.

The previous prime is 36083361100547. The next prime is 36083361100603. The reversal of 36083361100601 is 10600116338063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20940553927225 + 15142807173376 = 4576085^2 + 3891376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36083361100601 is a prime.

It is a super-2 number, since 2×36083361100601² (a number of 28 digits) contains 22 as substring.

Together with 36083361100603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36083361100603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18041680550300 + 18041680550301.

It is an arithmetic number, because the mean of its divisors is an integer number (18041680550301).

Almost surely, 2^{36083361100601} is an apocalyptic number.

It is an amenable number.

36083361100601 is a deficient number, since it is larger than the sum of its proper divisors (1).

36083361100601 is an equidigital number, since it uses as much as digits as its factorization.

36083361100601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

Adding to 36083361100601 its reverse (10600116338063), we get a palindrome (46683477438664).

The spelling of 36083361100601 in words is "thirty-six trillion, eighty-three billion, three hundred sixty-one million, one hundred thousand, six hundred one".