1031616009 has 12 divisors (see below), whose sum is σ = 1518228036. Its totient is φ = 674767392.

The previous prime is 1031616007. The next prime is 1031616011. The reversal of 1031616009 is 9006161301.

1031616009 is a `hidden beast` number, since 10 + 31 + 616 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1031616007) and next prime (1031616011).

It can be written as a sum of positive squares in 2 ways, for example, as 590490000 + 441126009 = 24300^2 + 21003^2 .

It is not a de Polignac number, because 1031616009 - 2¹ = 1031616007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031616007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1080882 + ... + 1081835.

It is an arithmetic number, because the mean of its divisors is an integer number (126519003).

Almost surely, 2^1031616009 is an apocalyptic number.

It is an amenable number.

1031616009 is a deficient number, since it is larger than the sum of its proper divisors (486612027).

1031616009 is a wasteful number, since it uses less digits than its factorization.

1031616009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162776 (or 2162773 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1031616009 is about 32118.7796935064. The cubic root of 1031616009 is about 1010.4295166920.

The spelling of 1031616009 in words is "one billion, thirty-one million, six hundred sixteen thousand, nine".