1006312016 has 20 divisors (see below), whose sum is σ = 1956393012. Its totient is φ = 501436416.

The previous prime is 1006311997. The next prime is 1006312019. The reversal of 1006312016 is 6102136001.

It can be written as a sum of positive squares in 2 ways, for example, as 411927616 + 594384400 = 20296^2 + 24380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006312019) 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 3 ways as a sum of consecutive naturals, for example, 102641 + ... + 112016.

Almost surely, 2^1006312016 is an apocalyptic number.

1006312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006312016 is a deficient number, since it is larger than the sum of its proper divisors (950080996).

1006312016 is a wasteful number, since it uses less digits than its factorization.

1006312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214958 (or 214952 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1006312016 is about 31722.4213451622. The cubic root of 1006312016 is about 1002.0995939534.

Adding to 1006312016 its reverse (6102136001), we get a palindrome (7108448017).

The spelling of 1006312016 in words is "one billion, six million, three hundred twelve thousand, sixteen".