315133520 has 40 divisors (see below), whose sum is σ = 789048456. Its totient is φ = 116356608.

The previous prime is 315133499. The next prime is 315133523. The reversal of 315133520 is 25331513.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 315133504 = 4^2 + 17752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315133523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150467 + ... + 152546.

Almost surely, 2^315133520 is an apocalyptic number.

It is an amenable number.

315133520 is an abundant number, since it is smaller than the sum of its proper divisors (473914936).

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

315133520 is a wasteful number, since it uses less digits than its factorization.

315133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303039 (or 303033 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 315133520 is about 17752.0004506534. Note that the first 3 decimals coincide. The cubic root of 315133520 is about 680.5053337169.

The spelling of 315133520 in words is "three hundred fifteen million, one hundred thirty-three thousand, five hundred twenty".