1016512416 has 360 divisors, whose sum is σ = 3369975840. Its totient is φ = 299870208.

The previous prime is 1016512397. The next prime is 1016512457. The reversal of 1016512416 is 6142156101.

1016512416 is a `hidden beast` number, since 1 + 0 + 1 + 651 + 2 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1016512416.

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 59 ways as a sum of consecutive naturals, for example, 17228995 + ... + 17229053.

It is an arithmetic number, because the mean of its divisors is an integer number (9361044).

Almost surely, 2^1016512416 is an apocalyptic number.

1016512416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016512416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684987920).

1016512416 is an abundant number, since it is smaller than the sum of its proper divisors (2353463424).

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

1016512416 is a wasteful number, since it uses less digits than its factorization.

1016512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1016512416 is about 31882.7918476409. The cubic root of 1016512416 is about 1005.4741180195.

Adding to 1016512416 its reverse (6142156101), we get a palindrome (7158668517).

The spelling of 1016512416 in words is "one billion, sixteen million, five hundred twelve thousand, four hundred sixteen".