38961793024577 has 2 divisors, whose sum is σ = 38961793024578. Its totient is φ = 38961793024576.

The previous prime is 38961793024571. The next prime is 38961793024579. The reversal of 38961793024577 is 77542039716983.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26136541736881 + 12825251287696 = 5112391^2 + 3581236^2 .

It is a cyclic number.

It is not a de Polignac number, because 38961793024577 - 2²⁰ = 38961791976001 is a prime.

Together with 38961793024579, 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 38961793024577.

It is not a weakly prime, because it can be changed into another prime (38961793024571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19480896512288 + 19480896512289.

It is an arithmetic number, because the mean of its divisors is an integer number (19480896512289).

It is a 2-persistent number, because it is pandigital, and so is 2⋅38961793024577 = 77923586049154, but 3⋅38961793024577 = 116885379073731 is not.

Almost surely, 2^{38961793024577} is an apocalyptic number.

It is an amenable number.

38961793024577 is a deficient number, since it is larger than the sum of its proper divisors (1).

38961793024577 is an equidigital number, since it uses as much as digits as its factorization.

38961793024577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480090240, while the sum is 71.

The spelling of 38961793024577 in words is "thirty-eight trillion, nine hundred sixty-one billion, seven hundred ninety-three million, twenty-four thousand, five hundred seventy-seven".