1006000505 has 24 divisors (see below), whose sum is σ = 1282866624. Its totient is φ = 757188000.

The previous prime is 1006000493. The next prime is 1006000507. The reversal of 1006000505 is 5050006001.

It is not a de Polignac number, because 1006000505 - 2⁸ = 1006000249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006000507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270710 + ... + 274400.

It is an arithmetic number, because the mean of its divisors is an integer number (53452776).

Almost surely, 2^1006000505 is an apocalyptic number.

It is an amenable number.

1006000505 is a deficient number, since it is larger than the sum of its proper divisors (276866119).

1006000505 is a wasteful number, since it uses less digits than its factorization.

1006000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1006000505 is about 31717.5110152105. The cubic root of 1006000505 is about 1001.9961809436.

Adding to 1006000505 its reverse (5050006001), we get a palindrome (6056006506).

The spelling of 1006000505 in words is "one billion, six million, five hundred five", and thus it is an aban number.