315125520 has 80 divisors (see below), whose sum is σ = 978842112. Its totient is φ = 83865600.

The previous prime is 315125497. The next prime is 315125521. The reversal of 315125520 is 25521513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315125521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160545 + ... + 162495.

Almost surely, 2^315125520 is an apocalyptic number.

315125520 is a gapful number since it is divisible by the number (30) 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 315125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489421056).

315125520 is an abundant number, since it is smaller than the sum of its proper divisors (663716592).

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

315125520 is a wasteful number, since it uses less digits than its factorization.

315125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 315125520 is about 17751.7751225054. The cubic root of 315125520 is about 680.4995752173.

The spelling of 315125520 in words is "three hundred fifteen million, one hundred twenty-five thousand, five hundred twenty".