1013135759 has 2 divisors, whose sum is σ = 1013135760. Its totient is φ = 1013135758.

The previous prime is 1013135699. The next prime is 1013135797. The reversal of 1013135759 is 9575313101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1013135759 - 2²⁰ = 1012087183 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013135659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506567879 + 506567880.

It is an arithmetic number, because the mean of its divisors is an integer number (506567880).

Almost surely, 2^1013135759 is an apocalyptic number.

1013135759 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013135759 is an equidigital number, since it uses as much as digits as its factorization.

1013135759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 1013135759 is about 31829.7935745741. The cubic root of 1013135759 is about 1004.3595530121.

The spelling of 1013135759 in words is "one billion, thirteen million, one hundred thirty-five thousand, seven hundred fifty-nine".