31580488681 has 27 divisors (see below), whose sum is σ = 37521037911. Its totient is φ = 26502809424.

The previous prime is 31580488673. The next prime is 31580488699. The reversal of 31580488681 is 18688408513.

The square root of 31580488681 is 177709.

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., 22766283225 + 8814205456 = 150885^2 + 93884^2 .

It is not a de Polignac number, because 31580488681 - 2³ = 31580488673 is a prime.

It is a super-2 number, since 2×31580488681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31580480681) 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 26 ways as a sum of consecutive naturals, for example, 65929800 + ... + 65930278.

Almost surely, 2^31580488681 is an apocalyptic number.

31580488681 is the 177709-th square number.

31580488681 is the 88855-th centered octagonal number.

It is an amenable number.

31580488681 is a deficient number, since it is larger than the sum of its proper divisors (5940549230).

31580488681 is an frugal number, since it uses more digits than its factorization.

31580488681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 31580488681 in words is "thirty-one billion, five hundred eighty million, four hundred eighty-eight thousand, six hundred eighty-one".