735312113 has 2 divisors, whose sum is σ = 735312114. Its totient is φ = 735312112.

The previous prime is 735312073. The next prime is 735312121. The reversal of 735312113 is 311213537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 705805489 + 29506624 = 26567^2 + 5432^2 .

It is an emirp because it is prime and its reverse (311213537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 735312113 - 2⁶ = 735312049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (735312913) 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, 367656056 + 367656057.

It is an arithmetic number, because the mean of its divisors is an integer number (367656057).

Almost surely, 2^735312113 is an apocalyptic number.

It is an amenable number.

735312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

735312113 is an equidigital number, since it uses as much as digits as its factorization.

735312113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 735312113 is about 27116.6390432148. The cubic root of 735312113 is about 902.5901161028.

The spelling of 735312113 in words is "seven hundred thirty-five million, three hundred twelve thousand, one hundred thirteen".