1531123968 has 144 divisors (see below), whose sum is σ = 4679942400. Its totient is φ = 439511040.

The previous prime is 1531123907. The next prime is 1531124039. The reversal of 1531123968 is 8693211351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155743 + ... + 165281.

It is an arithmetic number, because the mean of its divisors is an integer number (32499600).

Almost surely, 2^1531123968 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 1531123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339971200).

1531123968 is an abundant number, since it is smaller than the sum of its proper divisors (3148818432).

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

1531123968 is a wasteful number, since it uses less digits than its factorization.

1531123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588 (or 9574 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 1531123968 is about 39129.5791952840. The cubic root of 1531123968 is about 1152.5774496976.

It can be divided in two parts, 153112 and 3968, that added together give a triangular number (157080 = T₅₆₀).

The spelling of 1531123968 in words is "one billion, five hundred thirty-one million, one hundred twenty-three thousand, nine hundred sixty-eight".