315253120 has 128 divisors (see below), whose sum is σ = 927743040. Its totient is φ = 99753984.

The previous prime is 315253109. The next prime is 315253121. The reversal of 315253120 is 21352513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 315253091 and 315253100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315253121) 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, 55534 + ... + 60946.

Almost surely, 2^315253120 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 315253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463871520).

315253120 is an abundant number, since it is smaller than the sum of its proper divisors (612489920).

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

315253120 is a wasteful number, since it uses less digits than its factorization.

315253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 315253120 is about 17755.3687655312. The cubic root of 315253120 is about 680.5914116688.

The spelling of 315253120 in words is "three hundred fifteen million, two hundred fifty-three thousand, one hundred twenty".