83117751342337 has 2 divisors, whose sum is σ = 83117751342338. Its totient is φ = 83117751342336.

The previous prime is 83117751342331. The next prime is 83117751342371. The reversal of 83117751342337 is 73324315771138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83108092580496 + 9658761841 = 9116364^2 + 98279^2 .

It is a cyclic number.

It is not a de Polignac number, because 83117751342337 - 2³¹ = 83115603858689 is a prime.

It is not a weakly prime, because it can be changed into another prime (83117751342331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41558875671168 + 41558875671169.

It is an arithmetic number, because the mean of its divisors is an integer number (41558875671169).

Almost surely, 2^{83117751342337} is an apocalyptic number.

It is an amenable number.

83117751342337 is a deficient number, since it is larger than the sum of its proper divisors (1).

83117751342337 is an equidigital number, since it uses as much as digits as its factorization.

83117751342337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8890560, while the sum is 55.

The spelling of 83117751342337 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred fifty-one million, three hundred forty-two thousand, three hundred thirty-seven".