1530012600 has 144 divisors (see below), whose sum is σ = 5161075920. Its totient is φ = 406195200.

The previous prime is 1530012599. The next prime is 1530012607. The reversal of 1530012600 is 62100351.

1530012600 is a `hidden beast` number, since 1 + 53 + 0 + 0 + 12 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530012607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432037 + ... + 435563.

It is an arithmetic number, because the mean of its divisors is an integer number (35840805).

Almost surely, 2^1530012600 is an apocalyptic number.

1530012600 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 1530012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580537960).

1530012600 is an abundant number, since it is smaller than the sum of its proper divisors (3631063320).

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

1530012600 is a wasteful number, since it uses less digits than its factorization.

1530012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3778 counting only the distinct ones).

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

The square root of 1530012600 is about 39115.3754935320. The cubic root of 1530012600 is about 1152.2985156661.

Adding to 1530012600 its reverse (62100351), we get a palindrome (1592112951).

The spelling of 1530012600 in words is "one billion, five hundred thirty million, twelve thousand, six hundred".