1005132071 has 2 divisors, whose sum is σ = 1005132072. Its totient is φ = 1005132070.

The previous prime is 1005132061. The next prime is 1005132113. The reversal of 1005132071 is 1702315001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005132071 - 2¹⁸ = 1004869927 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005132001) 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, 502566035 + 502566036.

It is an arithmetic number, because the mean of its divisors is an integer number (502566036).

Almost surely, 2^1005132071 is an apocalyptic number.

1005132071 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005132071 is an equidigital number, since it uses as much as digits as its factorization.

1005132071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1005132071 is about 31703.8179246601. The cubic root of 1005132071 is about 1001.7077721873.

Adding to 1005132071 its reverse (1702315001), we get a palindrome (2707447072).

The spelling of 1005132071 in words is "one billion, five million, one hundred thirty-two thousand, seventy-one".