31330062009 has 45 divisors (see below), whose sum is σ = 47642151711. Its totient is φ = 20518187760.

The previous prime is 31330061969. The next prime is 31330062013. The reversal of 31330062009 is 90026003313.

The square root of 31330062009 is 177003.

It is a perfect power (a square), and thus also a powerful number.

31330062009 is a `hidden beast` number, since 3 + 1 + 3 + 30 + 0 + 620 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5400045225 + 25930016784 = 73485^2 + 161028^2 .

It is not a de Polignac number, because 31330062009 - 2¹³ = 31330053817 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31330067009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 113104779 + ... + 113105055.

Almost surely, 2^31330062009 is an apocalyptic number.

31330062009 is the 177003-rd square number.

31330062009 is the 88502-nd centered octagonal number.

It is an amenable number.

31330062009 is a deficient number, since it is larger than the sum of its proper divisors (16312089702).

31330062009 is an frugal number, since it uses more digits than its factorization.

31330062009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Multiplying 31330062009 by its product of nonzero digits (2916), we get a square (91358460818244 = 9558162²).

The spelling of 31330062009 in words is "thirty-one billion, three hundred thirty million, sixty-two thousand, nine".