1331609312 has 96 divisors (see below), whose sum is σ = 2940797664. Its totient is φ = 588390400.

The previous prime is 1331609287. The next prime is 1331609341. The reversal of 1331609312 is 2139061331.

It is a super-2 number, since 2×1331609312² = 3546366719610226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2555612 + ... + 2556132.

It is an arithmetic number, because the mean of its divisors is an integer number (30633309).

Almost surely, 2^1331609312 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 1331609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470398832).

1331609312 is an abundant number, since it is smaller than the sum of its proper divisors (1609188352).

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

1331609312 is a wasteful number, since it uses less digits than its factorization.

1331609312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 1331609312 is about 36491.2223966257. Note that the first 3 decimals coincide. The cubic root of 1331609312 is about 1100.1678289382.

The spelling of 1331609312 in words is "one billion, three hundred thirty-one million, six hundred nine thousand, three hundred twelve".