1005413115 has 48 divisors (see below), whose sum is σ = 1883900160. Its totient is φ = 456523200.

The previous prime is 1005413077. The next prime is 1005413119. The reversal of 1005413115 is 5113145001.

It is a happy number.

It is not a de Polignac number, because 1005413115 - 2²³ = 997024507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1005413091 and 1005413100.

It is not an unprimeable number, because it can be changed into a prime (1005413119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106456 + ... + 115514.

It is an arithmetic number, because the mean of its divisors is an integer number (39247920).

Almost surely, 2^1005413115 is an apocalyptic number.

1005413115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005413115 is a deficient number, since it is larger than the sum of its proper divisors (878487045).

1005413115 is a wasteful number, since it uses less digits than its factorization.

1005413115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1005413115 is about 31708.2499517082. The cubic root of 1005413115 is about 1001.8011256654.

Adding to 1005413115 its reverse (5113145001), we get a palindrome (6118558116).

The spelling of 1005413115 in words is "one billion, five million, four hundred thirteen thousand, one hundred fifteen".