1013085929 has 2 divisors, whose sum is σ = 1013085930. Its totient is φ = 1013085928.

The previous prime is 1013085907. The next prime is 1013085973. The reversal of 1013085929 is 9295803101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 753392704 + 259693225 = 27448^2 + 16115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013085929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013085892 and 1013085901.

It is not a weakly prime, because it can be changed into another prime (1013085979) 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, 506542964 + 506542965.

It is an arithmetic number, because the mean of its divisors is an integer number (506542965).

Almost surely, 2^1013085929 is an apocalyptic number.

It is an amenable number.

1013085929 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013085929 is an equidigital number, since it uses as much as digits as its factorization.

1013085929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 1013085929 is about 31829.0108077521. The cubic root of 1013085929 is about 1004.3430866249.

The spelling of 1013085929 in words is "one billion, thirteen million, eighty-five thousand, nine hundred twenty-nine".