36138828270641 has 2 divisors, whose sum is σ = 36138828270642. Its totient is φ = 36138828270640.

The previous prime is 36138828270583. The next prime is 36138828270691. The reversal of 36138828270641 is 14607282883163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20261161537600 + 15877666733041 = 4501240^2 + 3984679^2 .

It is a cyclic number.

It is not a de Polignac number, because 36138828270641 - 2¹⁰ = 36138828269617 is a prime.

It is not a weakly prime, because it can be changed into another prime (36138828270691) 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, 18069414135320 + 18069414135321.

It is an arithmetic number, because the mean of its divisors is an integer number (18069414135321).

Almost surely, 2^{36138828270641} is an apocalyptic number.

It is an amenable number.

36138828270641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36138828270641 is an equidigital number, since it uses as much as digits as its factorization.

36138828270641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 36138828270641 in words is "thirty-six trillion, one hundred thirty-eight billion, eight hundred twenty-eight million, two hundred seventy thousand, six hundred forty-one".