31590481132681 has 9 divisors (see below), whose sum is σ = 31693496607381. Its totient is φ = 31487799469152.

The previous prime is 31590481132673. The next prime is 31590481132781. The reversal of 31590481132681 is 18623118409513.

The square root of 31590481132681 is 5620541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 133414137081 + 31457066995600 = 365259^2 + 5608660^2 .

It is not a de Polignac number, because 31590481132681 - 2³ = 31590481132673 is a prime.

It is a super-2 number, since 2×31590481132681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31590481132181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1759220355 + ... + 1759238311.

Almost surely, 2^{31590481132681} is an apocalyptic number.

31590481132681 is the 5620541-st square number.

31590481132681 is the 2810271-st centered octagonal number.

It is an amenable number.

31590481132681 is a deficient number, since it is larger than the sum of its proper divisors (103015474700).

31590481132681 is an frugal number, since it uses more digits than its factorization.

31590481132681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36540 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 31590481132681 in words is "thirty-one trillion, five hundred ninety billion, four hundred eighty-one million, one hundred thirty-two thousand, six hundred eighty-one".