1001005065 has 24 divisors (see below), whose sum is σ = 1737233160. Its totient is φ = 533205504.

The previous prime is 1001005051. The next prime is 1001005079. The reversal of 1001005065 is 5605001001.

1001005065 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001005051) and next prime (1001005079).

It can be written as a sum of positive squares in 4 ways, for example, as 14040009 + 986965056 = 3747^2 + 31416^2 .

It is not a de Polignac number, because 1001005065 - 2⁶ = 1001005001 is a prime.

It is a super-2 number, since 2×1001005065² = 2004022280311308450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23889 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (72384715).

Almost surely, 2^1001005065 is an apocalyptic number.

1001005065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001005065 is a deficient number, since it is larger than the sum of its proper divisors (736228095).

1001005065 is a wasteful number, since it uses less digits than its factorization.

1001005065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673 (or 27670 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1001005065 is about 31638.6640836809. The cubic root of 1001005065 is about 1000.3349094898.

Adding to 1001005065 its reverse (5605001001), we get a palindrome (6606006066).

The spelling of 1001005065 in words is "one billion, one million, five thousand, sixty-five".