83649608101 has 2 divisors, whose sum is σ = 83649608102. Its totient is φ = 83649608100.

The previous prime is 83649608057. The next prime is 83649608131. The reversal of 83649608101 is 10180694638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83573028100 + 76580001 = 289090^2 + 8751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83649608101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83649608131) 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, 41824804050 + 41824804051.

It is an arithmetic number, because the mean of its divisors is an integer number (41824804051).

Almost surely, 2^83649608101 is an apocalyptic number.

It is an amenable number.

83649608101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83649608101 is an equidigital number, since it uses as much as digits as its factorization.

83649608101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 83649608101 in words is "eighty-three billion, six hundred forty-nine million, six hundred eight thousand, one hundred one".