1016509312 has 192 divisors, whose sum is σ = 2575908000. Its totient is φ = 399200256.

The previous prime is 1016509301. The next prime is 1016509381. The reversal of 1016509312 is 2139056101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7419708 + ... + 7419844.

Almost surely, 2^1016509312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287954000).

1016509312 is an abundant number, since it is smaller than the sum of its proper divisors (1559398688).

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

1016509312 is an equidigital number, since it uses as much as digits as its factorization.

1016509312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1016509312 is about 31882.7431693071. The cubic root of 1016509312 is about 1005.4730945872.

The spelling of 1016509312 in words is "one billion, sixteen million, five hundred nine thousand, three hundred twelve".