1004131216 has 40 divisors (see below), whose sum is σ = 2162433024. Its totient is φ = 447807360.

The previous prime is 1004131201. The next prime is 1004131237. The reversal of 1004131216 is 6121314001.

It is a junction number, because it is equal to n+sod(n) for n = 1004131193 and 1004131202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44496 + ... + 63151.

Almost surely, 2^1004131216 is an apocalyptic number.

1004131216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004131216 is an abundant number, since it is smaller than the sum of its proper divisors (1158301808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004131216 is a wasteful number, since it uses less digits than its factorization.

1004131216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107719 (or 107713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1004131216 is about 31688.0295379817. The cubic root of 1004131216 is about 1001.3751800131.

Adding to 1004131216 its reverse (6121314001), we get a palindrome (7125445217).

The spelling of 1004131216 in words is "one billion, four million, one hundred thirty-one thousand, two hundred sixteen".