1006005113 has 2 divisors, whose sum is σ = 1006005114. Its totient is φ = 1006005112.

The previous prime is 1006005097. The next prime is 1006005127. The reversal of 1006005113 is 3115006001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801286249 + 204718864 = 28307^2 + 14308^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006005113 - 2⁴ = 1006005097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006005091 and 1006005100.

It is not a weakly prime, because it can be changed into another prime (1006005163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503002556 + 503002557.

It is an arithmetic number, because the mean of its divisors is an integer number (503002557).

Almost surely, 2^1006005113 is an apocalyptic number.

It is an amenable number.

1006005113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006005113 is an equidigital number, since it uses as much as digits as its factorization.

1006005113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1006005113 is about 31717.5836563885. The cubic root of 1006005113 is about 1001.9977108273.

The spelling of 1006005113 in words is "one billion, six million, five thousand, one hundred thirteen".