1533213920 has 144 divisors (see below), whose sum is σ = 4235081760. Its totient is φ = 522998784.

The previous prime is 1533213883. The next prime is 1533213923. The reversal of 1533213920 is 293123351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533213923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2108597 + ... + 2109323.

It is an arithmetic number, because the mean of its divisors is an integer number (29410290).

Almost surely, 2^1533213920 is an apocalyptic number.

1533213920 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 1533213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117540880).

1533213920 is an abundant number, since it is smaller than the sum of its proper divisors (2701867840).

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

1533213920 is a wasteful number, since it uses less digits than its factorization.

1533213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 1533213920 is about 39156.2756145168. The cubic root of 1533213920 is about 1153.1016259293.

The spelling of 1533213920 in words is "one billion, five hundred thirty-three million, two hundred thirteen thousand, nine hundred twenty".