1009538816 has 216 divisors, whose sum is σ = 2511912480. Its totient is φ = 401448960.

The previous prime is 1009538813. The next prime is 1009538833. The reversal of 1009538816 is 6188359001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009538813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9261770 + ... + 9261878.

Almost surely, 2^1009538816 is an apocalyptic number.

1009538816 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 1009538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255956240).

1009538816 is an abundant number, since it is smaller than the sum of its proper divisors (1502373664).

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

1009538816 is a wasteful number, since it uses less digits than its factorization.

1009538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 1009538816 is about 31773.2405649786. The cubic root of 1009538816 is about 1003.1695486807.

The spelling of 1009538816 in words is "one billion, nine million, five hundred thirty-eight thousand, eight hundred sixteen".