1331605296 has 120 divisors (see below), whose sum is σ = 4405982880. Its totient is φ = 367331328.

The previous prime is 1331605243. The next prime is 1331605307. The reversal of 1331605296 is 6925061331.

1331605296 is a `hidden beast` number, since 13 + 31 + 605 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1331605296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6456 + ... + 52008.

It is an arithmetic number, because the mean of its divisors is an integer number (36716524).

Almost surely, 2^1331605296 is an apocalyptic number.

1331605296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331605296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202991440).

1331605296 is an abundant number, since it is smaller than the sum of its proper divisors (3074377584).

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

1331605296 is a wasteful number, since it uses less digits than its factorization.

1331605296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45603 (or 45594 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1331605296 is about 36491.1673696526. The cubic root of 1331605296 is about 1100.1667229385.

The spelling of 1331605296 in words is "one billion, three hundred thirty-one million, six hundred five thousand, two hundred ninety-six".