1008316516 has 9 divisors (see below), whose sum is σ = 1764665049. Its totient is φ = 504126504.

The previous prime is 1008316513. The next prime is 1008316523. The reversal of 1008316516 is 6156138001.

The square root of 1008316516 is 31754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1008062500 + 254016 = 31750^2 + 504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008316513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 55570 + ... + 71446.

Almost surely, 2^1008316516 is an apocalyptic number.

1008316516 is the 31754-th square number.

It is an amenable number.

1008316516 is a deficient number, since it is larger than the sum of its proper divisors (756348533).

1008316516 is an frugal number, since it uses more digits than its factorization.

1008316516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31758 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The cubic root of 1008316516 is about 1002.7645223733.

The spelling of 1008316516 in words is "one billion, eight million, three hundred sixteen thousand, five hundred sixteen".