1006006031 has 2 divisors, whose sum is σ = 1006006032. Its totient is φ = 1006006030.

The previous prime is 1006006019. The next prime is 1006006033. The reversal of 1006006031 is 1306006001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1006006031 - 2¹⁸ = 1005743887 is a prime.

It is a super-2 number, since 2×1006006031² = 2024096268816745922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1006006033, 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 (1006006033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503003015 + 503003016.

It is an arithmetic number, because the mean of its divisors is an integer number (503003016).

Almost surely, 2^1006006031 is an apocalyptic number.

1006006031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006006031 is an equidigital number, since it uses as much as digits as its factorization.

1006006031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1006006031 is about 31717.5981278533. The cubic root of 1006006031 is about 1001.9980156082.

The spelling of 1006006031 in words is "one billion, six million, six thousand, thirty-one".