1530315306 has 96 divisors (see below), whose sum is σ = 3638915280. Its totient is φ = 461970432.

The previous prime is 1530315289. The next prime is 1530315307. The reversal of 1530315306 is 6035130351.

1530315306 is a `hidden beast` number, since 15 + 30 + 315 + 306 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 737611281 + 792704025 = 27159^2 + 28155^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1530315306.

It is not an unprimeable number, because it can be changed into a prime (1530315307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102536 + ... + 4102908.

Almost surely, 2^1530315306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530315306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819457640).

1530315306 is an abundant number, since it is smaller than the sum of its proper divisors (2108599974).

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

1530315306 is a wasteful number, since it uses less digits than its factorization.

1530315306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1530315306 is about 39119.2447012976. The cubic root of 1530315306 is about 1152.3745029867.

Adding to 1530315306 its reverse (6035130351), we get a palindrome (7565445657).

The spelling of 1530315306 in words is "one billion, five hundred thirty million, three hundred fifteen thousand, three hundred six".