31441000509 has 12 divisors (see below), whose sum is σ = 45578734396. Its totient is φ = 20884995072.

The previous prime is 31441000477. The next prime is 31441000639. The reversal of 31441000509 is 90500014413.

31441000509 is a `hidden beast` number, since 3 + 144 + 10 + 0 + 0 + 509 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20991663225 + 10449337284 = 144885^2 + 102222^2 .

It is not a de Polignac number, because 31441000509 - 2⁵ = 31441000477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441000109) 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, 6303364 + ... + 6308349.

Almost surely, 2^31441000509 is an apocalyptic number.

It is an amenable number.

31441000509 is a deficient number, since it is larger than the sum of its proper divisors (14137733887).

31441000509 is a wasteful number, since it uses less digits than its factorization.

31441000509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611996 (or 12611993 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 31441000509 in words is "thirty-one billion, four hundred forty-one million, five hundred nine", and thus it is an aban number.