31205605504 has 64 divisors (see below), whose sum is σ = 63124905240. Its totient is φ = 15363219456.

The previous prime is 31205605447. The next prime is 31205605549. The reversal of 31205605504 is 40550650213.

It can be written as a sum of positive squares in 4 ways, for example, as 30888765504 + 316840000 = 175752^2 + 17800^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6323422 + ... + 6328354.

Almost surely, 2^31205605504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31205605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31562452620).

31205605504 is an abundant number, since it is smaller than the sum of its proper divisors (31919299736).

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

31205605504 is an equidigital number, since it uses as much as digits as its factorization.

31205605504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 31205605504 in words is "thirty-one billion, two hundred five million, six hundred five thousand, five hundred four".