1005124041 has 12 divisors (see below), whose sum is σ = 1452247732. Its totient is φ = 669897216.

The previous prime is 1005124037. The next prime is 1005124063. The reversal of 1005124041 is 1404215001.

It can be written as a sum of positive squares in 2 ways, for example, as 819619641 + 185504400 = 28629^2 + 13620^2 .

It is not a de Polignac number, because 1005124041 - 2² = 1005124037 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005194041) 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 11 ways as a sum of consecutive naturals, for example, 24225 + ... + 50961.

Almost surely, 2^1005124041 is an apocalyptic number.

It is an amenable number.

1005124041 is a deficient number, since it is larger than the sum of its proper divisors (447123691).

1005124041 is a wasteful number, since it uses less digits than its factorization.

1005124041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30920 (or 30917 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1005124041 is about 31703.6912835083. The cubic root of 1005124041 is about 1001.7051046324.

Adding to 1005124041 its reverse (1404215001), we get a palindrome (2409339042).

The spelling of 1005124041 in words is "one billion, five million, one hundred twenty-four thousand, forty-one".