36314872538129 has 2 divisors, whose sum is σ = 36314872538130. Its totient is φ = 36314872538128.

The previous prime is 36314872538047. The next prime is 36314872538171. The reversal of 36314872538129 is 92183527841363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33408665880529 + 2906206657600 = 5780023^2 + 1704760^2 .

It is a cyclic number.

It is not a de Polignac number, because 36314872538129 - 2⁸ = 36314872537873 is a prime.

It is not a weakly prime, because it can be changed into another prime (36314872532129) 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, 18157436269064 + 18157436269065.

It is an arithmetic number, because the mean of its divisors is an integer number (18157436269065).

Almost surely, 2^{36314872538129} is an apocalyptic number.

It is an amenable number.

36314872538129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36314872538129 is an equidigital number, since it uses as much as digits as its factorization.

36314872538129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52254720, while the sum is 62.

It can be divided in two parts, 3631487 and 2538129, that added together give a palindrome (6169616).

The spelling of 36314872538129 in words is "thirty-six trillion, three hundred fourteen billion, eight hundred seventy-two million, five hundred thirty-eight thousand, one hundred twenty-nine".