1005040515 has 32 divisors (see below), whose sum is σ = 1647993600. Its totient is φ = 522853760.

The previous prime is 1005040513. The next prime is 1005040523. The reversal of 1005040515 is 5150405001.

It is not a de Polignac number, because 1005040515 - 2¹ = 1005040513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005040491 and 1005040500.

It is not an unprimeable number, because it can be changed into a prime (1005040513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111601 + ... + 120269.

It is an arithmetic number, because the mean of its divisors is an integer number (51499800).

Almost surely, 2^1005040515 is an apocalyptic number.

1005040515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005040515 is a deficient number, since it is larger than the sum of its proper divisors (642953085).

1005040515 is a wasteful number, since it uses less digits than its factorization.

1005040515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1005040515 is about 31702.3739647365. The cubic root of 1005040515 is about 1001.6773565685.

Adding to 1005040515 its reverse (5150405001), we get a palindrome (6155445516).

The spelling of 1005040515 in words is "one billion, five million, forty thousand, five hundred fifteen".