1004213041 has 24 divisors (see below), whose sum is σ = 1144322424. Its totient is φ = 879690240.

The previous prime is 1004213027. The next prime is 1004213047. The reversal of 1004213041 is 1403124001.

It can be written as a sum of positive squares in 12 ways, for example, as 387932416 + 616280625 = 19696^2 + 24825^2 .

It is not a de Polignac number, because 1004213041 - 2⁵ = 1004213009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004213047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254415 + ... + 258331.

It is an arithmetic number, because the mean of its divisors is an integer number (47680101).

Almost surely, 2^1004213041 is an apocalyptic number.

It is an amenable number.

1004213041 is a deficient number, since it is larger than the sum of its proper divisors (140109383).

1004213041 is a wasteful number, since it uses less digits than its factorization.

1004213041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1004213041 is about 31689.3206143647. The cubic root of 1004213041 is about 1001.4023794126.

Adding to 1004213041 its reverse (1403124001), we get a palindrome (2407337042).

The spelling of 1004213041 in words is "one billion, four million, two hundred thirteen thousand, forty-one".