83088768268301 has 2 divisors, whose sum is σ = 83088768268302. Its totient is φ = 83088768268300.

The previous prime is 83088768268267. The next prime is 83088768268327. The reversal of 83088768268301 is 10386286788038.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73886488275625 + 9202279992676 = 8595725^2 + 3033526^2 .

It is a cyclic number.

It is not a de Polignac number, because 83088768268301 - 2¹⁰ = 83088768267277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83088768268201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41544384134150 + 41544384134151.

It is an arithmetic number, because the mean of its divisors is an integer number (41544384134151).

Almost surely, 2^{83088768268301} is an apocalyptic number.

It is an amenable number.

83088768268301 is a deficient number, since it is larger than the sum of its proper divisors (1).

83088768268301 is an equidigital number, since it uses as much as digits as its factorization.

83088768268301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148635648, while the sum is 68.

The spelling of 83088768268301 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, three hundred one".