1330532820 has 72 divisors (see below), whose sum is σ = 4134410280. Its totient is φ = 346152960.

The previous prime is 1330532783. The next prime is 1330532831. The reversal of 1330532820 is 282350331.

1330532820 is a `hidden beast` number, since 1 + 330 + 5 + 328 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76947984 + 1253584836 = 8772^2 + 35406^2 .

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, 82765 + ... + 97524.

It is an arithmetic number, because the mean of its divisors is an integer number (57422365).

Almost surely, 2^1330532820 is an apocalyptic number.

1330532820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330532820 is an abundant number, since it is smaller than the sum of its proper divisors (2803877460).

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

1330532820 is a wasteful number, since it uses less digits than its factorization.

1330532820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180345 (or 180340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1330532820 is about 36476.4694015197. The cubic root of 1330532820 is about 1099.8712852147.

The spelling of 1330532820 in words is "one billion, three hundred thirty million, five hundred thirty-two thousand, eight hundred twenty".