38781568315601 has 2 divisors, whose sum is σ = 38781568315602. Its totient is φ = 38781568315600.

The previous prime is 38781568315597. The next prime is 38781568315603. The reversal of 38781568315601 is 10651386518783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22689026890000 + 16092541425601 = 4763300^2 + 4011551^2 .

It is an emirp because it is prime and its reverse (10651386518783) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38781568315601 - 2² = 38781568315597 is a prime.

Together with 38781568315603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (38781568315603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19390784157800 + 19390784157801.

It is an arithmetic number, because the mean of its divisors is an integer number (19390784157801).

Almost surely, 2^{38781568315601} is an apocalyptic number.

It is an amenable number.

38781568315601 is a deficient number, since it is larger than the sum of its proper divisors (1).

38781568315601 is an equidigital number, since it uses as much as digits as its factorization.

38781568315601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 38781568315601 in words is "thirty-eight trillion, seven hundred eighty-one billion, five hundred sixty-eight million, three hundred fifteen thousand, six hundred one".