315825900 has 144 divisors (see below), whose sum is σ = 1005602304. Its totient is φ = 76043520.

The previous prime is 315825899. The next prime is 315825907. The reversal of 315825900 is 9528513.

It is a super-2 number, since 2×315825900² = 199491998221620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315825907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182439 + ... + 184161.

Almost surely, 2^315825900 is an apocalyptic number.

315825900 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 315825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502801152).

315825900 is an abundant number, since it is smaller than the sum of its proper divisors (689776404).

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

315825900 is a wasteful number, since it uses less digits than its factorization.

315825900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 315825900 is about 17771.4912148643. The cubic root of 315825900 is about 681.0033486912.

The spelling of 315825900 in words is "three hundred fifteen million, eight hundred twenty-five thousand, nine hundred".