83123738608061 has 2 divisors, whose sum is σ = 83123738608062. Its totient is φ = 83123738608060.

The previous prime is 83123738608037. The next prime is 83123738608067. The reversal of 83123738608061 is 16080683732138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64028499171961 + 19095239436100 = 8001781^2 + 4369810^2 .

It is a cyclic number.

It is not a de Polignac number, because 83123738608061 - 2³⁴ = 83106558738877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83123738607988 and 83123738608006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83123738608067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41561869304030 + 41561869304031.

It is an arithmetic number, because the mean of its divisors is an integer number (41561869304031).

Almost surely, 2^{83123738608061} is an apocalyptic number.

It is an amenable number.

83123738608061 is a deficient number, since it is larger than the sum of its proper divisors (1).

83123738608061 is an equidigital number, since it uses as much as digits as its factorization.

83123738608061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 83123738608061 in words is "eighty-three trillion, one hundred twenty-three billion, seven hundred thirty-eight million, six hundred eight thousand, sixty-one".