315030016 has 120 divisors (see below), whose sum is σ = 759209220. Its totient is φ = 130056192.

The previous prime is 315029983. The next prime is 315030061. The reversal of 315030016 is 610030513.

It can be written as a sum of positive squares in 2 ways, for example, as 301369600 + 13660416 = 17360^2 + 3696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 315029975 and 315030002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727336 + ... + 727768.

Almost surely, 2^315030016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379604610).

315030016 is an abundant number, since it is smaller than the sum of its proper divisors (444179204).

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

315030016 is an equidigital number, since it uses as much as digits as its factorization.

315030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 315030016 is about 17749.0849341593. The cubic root of 315030016 is about 680.4308227215.

Adding to 315030016 its reverse (610030513), we get a palindrome (925060529).

The spelling of 315030016 in words is "three hundred fifteen million, thirty thousand, sixteen".