7131588282 has 144 divisors (see below), whose sum is σ = 19413779112. Its totient is φ = 1875363840.

The previous prime is 7131588259. The next prime is 7131588301. The reversal of 7131588282 is 2828851317.

It can be written as a sum of positive squares in 4 ways, for example, as 5094961641 + 2036626641 = 71379^2 + 45129^2 .

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 71 ways as a sum of consecutive naturals, for example, 5239282 + ... + 5240642.

Almost surely, 2^7131588282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7131588282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9706889556).

7131588282 is an abundant number, since it is smaller than the sum of its proper divisors (12282190830).

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

7131588282 is a wasteful number, since it uses less digits than its factorization.

7131588282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1843 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 7131588282 is about 84448.7316778648. The cubic root of 7131588282 is about 1924.8434825911.

The spelling of 7131588282 in words is "seven billion, one hundred thirty-one million, five hundred eighty-eight thousand, two hundred eighty-two".