1331565642 has 96 divisors (see below), whose sum is σ = 3280979520. Its totient is φ = 401397120.

The previous prime is 1331565637. The next prime is 1331565643. The reversal of 1331565642 is 2465651331.

1331565642 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 5 + 6 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1331565597 and 1331565606.

It is not an unprimeable number, because it can be changed into a prime (1331565643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245084 + ... + 1246152.

It is an arithmetic number, because the mean of its divisors is an integer number (34176870).

Almost surely, 2^1331565642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331565642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640489760).

1331565642 is an abundant number, since it is smaller than the sum of its proper divisors (1949413878).

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

1331565642 is a wasteful number, since it uses less digits than its factorization.

1331565642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1331565642 is about 36490.6240286460. The cubic root of 1331565642 is about 1100.1558021738.

The spelling of 1331565642 in words is "one billion, three hundred thirty-one million, five hundred sixty-five thousand, six hundred forty-two".