1533521920 has 208 divisors, whose sum is σ = 4434935040. Its totient is φ = 497221632.

The previous prime is 1533521917. The next prime is 1533521921. The reversal of 1533521920 is 291253351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533521921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723559 + ... + 2724121.

Almost surely, 2^1533521920 is an apocalyptic number.

1533521920 is a gapful number since it is divisible by the number (10) 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 1533521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217467520).

1533521920 is an abundant number, since it is smaller than the sum of its proper divisors (2901413120).

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

1533521920 is an equidigital number, since it uses as much as digits as its factorization.

1533521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 1533521920 is about 39160.2083753394. The cubic root of 1533521920 is about 1153.1788344468.

The spelling of 1533521920 in words is "one billion, five hundred thirty-three million, five hundred twenty-one thousand, nine hundred twenty".