1009431216 has 60 divisors (see below), whose sum is σ = 2878329168. Its totient is φ = 330125952.

The previous prime is 1009431191. The next prime is 1009431229. The reversal of 1009431216 is 6121349001.

1009431216 is a `hidden beast` number, since 10 + 0 + 9 + 431 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1009431216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58500 + ... + 73763.

Almost surely, 2^1009431216 is an apocalyptic number.

1009431216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1009431216 is an abundant number, since it is smaller than the sum of its proper divisors (1868897952).

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

1009431216 is a wasteful number, since it uses less digits than its factorization.

1009431216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132330 (or 132321 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1009431216 is about 31771.5472711041. The cubic root of 1009431216 is about 1003.1339070336.

The spelling of 1009431216 in words is "one billion, nine million, four hundred thirty-one thousand, two hundred sixteen".