1006011005971 has 2 divisors, whose sum is σ = 1006011005972. Its totient is φ = 1006011005970.

The previous prime is 1006011005963. The next prime is 1006011006043. The reversal of 1006011005971 is 1795001106001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006011005971 - 2³ = 1006011005963 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006011005921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503005502985 + 503005502986.

It is an arithmetic number, because the mean of its divisors is an integer number (503005502986).

Almost surely, 2^{1006011005971} is an apocalyptic number.

1006011005971 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006011005971 is an equidigital number, since it uses as much as digits as its factorization.

1006011005971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 31.

The spelling of 1006011005971 in words is "one trillion, six billion, eleven million, five thousand, nine hundred seventy-one".