36605571375101 has 2 divisors, whose sum is σ = 36605571375102. Its totient is φ = 36605571375100.

The previous prime is 36605571375073. The next prime is 36605571375103. The reversal of 36605571375101 is 10157317550663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30765059983876 + 5840511391225 = 5546626^2 + 2416715^2 .

It is a cyclic number.

It is not a de Polignac number, because 36605571375101 - 2²⁶ = 36605504266237 is a prime.

It is a super-2 number, since 2×36605571375101² (a number of 28 digits) contains 22 as substring.

Together with 36605571375103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36605571375101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36605571375103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18302785687550 + 18302785687551.

It is an arithmetic number, because the mean of its divisors is an integer number (18302785687551).

Almost surely, 2^{36605571375101} is an apocalyptic number.

It is an amenable number.

36605571375101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36605571375101 is an equidigital number, since it uses as much as digits as its factorization.

36605571375101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1984500, while the sum is 50.

The spelling of 36605571375101 in words is "thirty-six trillion, six hundred five billion, five hundred seventy-one million, three hundred seventy-five thousand, one hundred one".