1530213120 has 180 divisors, whose sum is σ = 5475753360. Its totient is φ = 408029184.

The previous prime is 1530213119. The next prime is 1530213133. The reversal of 1530213120 is 213120351.

1530213120 is a `hidden beast` number, since 1 + 530 + 2 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1530213093 and 1530213102.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 96301 + ... + 111059.

It is an arithmetic number, because the mean of its divisors is an integer number (30420852).

Almost surely, 2^1530213120 is an apocalyptic number.

1530213120 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 1530213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737876680).

1530213120 is an abundant number, since it is smaller than the sum of its proper divisors (3945540240).

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

1530213120 is an equidigital number, since it uses as much as digits as its factorization.

1530213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1530213120 is about 39117.9385959945. The cubic root of 1530213120 is about 1152.3488526819.

Adding to 1530213120 its reverse (213120351), we get a palindrome (1743333471).

The spelling of 1530213120 in words is "one billion, five hundred thirty million, two hundred thirteen thousand, one hundred twenty".