123535301 has 2 divisors, whose sum is σ = 123535302. Its totient is φ = 123535300.

The previous prime is 123535289. The next prime is 123535303. The reversal of 123535301 is 103535321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116618401 + 6916900 = 10799^2 + 2630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123535301 is a prime.

Together with 123535303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123535303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61767650 + 61767651.

It is an arithmetic number, because the mean of its divisors is an integer number (61767651).

Almost surely, 2^123535301 is an apocalyptic number.

It is an amenable number.

123535301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123535301 is an equidigital number, since it uses as much as digits as its factorization.

123535301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 123535301 is about 11114.6435390434. The cubic root of 123535301 is about 498.0393900661.

The spelling of 123535301 in words is "one hundred twenty-three million, five hundred thirty-five thousand, three hundred one".