31327938009 has 27 divisors (see below), whose sum is σ = 46414334239. Its totient is φ = 20361734880.

The previous prime is 31327937959. The next prime is 31327938013. The reversal of 31327938009 is 90083972313.

The square root of 31327938009 is 176997.

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

It can be written as a sum of positive squares in only one way, i.e., 1509555609 + 29818382400 = 38853^2 + 172680^2 .

It is not a de Polignac number, because 31327938009 - 2⁷ = 31327937881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31327931009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21769912 + ... + 21771350.

Almost surely, 2^31327938009 is an apocalyptic number.

31327938009 is the 176997-th square number.

31327938009 is the 88499-th centered octagonal number.

It is an amenable number.

31327938009 is a deficient number, since it is larger than the sum of its proper divisors (15086396230).

31327938009 is an frugal number, since it uses more digits than its factorization.

31327938009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 31327938009 in words is "thirty-one billion, three hundred twenty-seven million, nine hundred thirty-eight thousand, nine".