531608742 has 144 divisors (see below), whose sum is σ = 1394407872. Its totient is φ = 145847520.

The previous prime is 531608731. The next prime is 531608743. The reversal of 531608742 is 247806135.

531608742 is a `hidden beast` number, since 5 + 3 + 1 + 608 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 531608697 and 531608706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531608743) 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 71 ways as a sum of consecutive naturals, for example, 4058017 + ... + 4058147.

It is an arithmetic number, because the mean of its divisors is an integer number (9683388).

Almost surely, 2^531608742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531608742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697203936).

531608742 is an abundant number, since it is smaller than the sum of its proper divisors (862799130).

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

531608742 is a wasteful number, since it uses less digits than its factorization.

531608742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 531608742 is about 23056.6420365152. The cubic root of 531608742 is about 810.0852128002.

The spelling of 531608742 in words is "five hundred thirty-one million, six hundred eight thousand, seven hundred forty-two".