315148600530 has 128 divisors (see below), whose sum is σ = 856624688640. Its totient is φ = 82418169600.

The previous prime is 315148600519. The next prime is 315148600537. The reversal of 315148600530 is 35006841513.

315148600530 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 48 + 600 + 5 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (315148600537) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55276680 + ... + 55282380.

It is an arithmetic number, because the mean of its divisors is an integer number (6692380380).

Almost surely, 2^315148600530 is an apocalyptic number.

315148600530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315148600530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428312344320).

315148600530 is an abundant number, since it is smaller than the sum of its proper divisors (541476088110).

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

315148600530 is a wasteful number, since it uses less digits than its factorization.

315148600530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 315148600530 in words is "three hundred fifteen billion, one hundred forty-eight million, six hundred thousand, five hundred thirty".