36554575338037 has 2 divisors, whose sum is σ = 36554575338038. Its totient is φ = 36554575338036.

The previous prime is 36554575337999. The next prime is 36554575338049. The reversal of 36554575338037 is 73083357545563.

36554575338037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23044473817156 + 13510101520881 = 4800466^2 + 3675609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36554575338037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36554575338037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36554575338097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18277287669018 + 18277287669019.

It is an arithmetic number, because the mean of its divisors is an integer number (18277287669019).

Almost surely, 2^{36554575338037} is an apocalyptic number.

It is an amenable number.

36554575338037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36554575338037 is an equidigital number, since it uses as much as digits as its factorization.

36554575338037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280000, while the sum is 64.

The spelling of 36554575338037 in words is "thirty-six trillion, five hundred fifty-four billion, five hundred seventy-five million, three hundred thirty-eight thousand, thirty-seven".