1005332016 has 80 divisors (see below), whose sum is σ = 2803320576. Its totient is φ = 308621568.

The previous prime is 1005331991. The next prime is 1005332017. The reversal of 1005332016 is 6102335001.

1005332016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1005331983 and 1005332001.

It is not an unprimeable number, because it can be changed into a prime (1005332017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312271 + ... + 315473.

Almost surely, 2^1005332016 is an apocalyptic number.

1005332016 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 1005332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401660288).

1005332016 is an abundant number, since it is smaller than the sum of its proper divisors (1797988560).

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

1005332016 is a wasteful number, since it uses less digits than its factorization.

1005332016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1005332016 is about 31706.9710946978. The cubic root of 1005332016 is about 1001.7741890583.

Adding to 1005332016 its reverse (6102335001), we get a palindrome (7107667017).

The spelling of 1005332016 in words is "one billion, five million, three hundred thirty-two thousand, sixteen".