315125000 has 56 divisors (see below), whose sum is σ = 738857730. Its totient is φ = 126000000.

The previous prime is 315124981. The next prime is 315125003. The reversal of 315125000 is 521513.

It can be written as a sum of positive squares in 7 ways, for example, as 273108676 + 42016324 = 16526^2 + 6482^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 315125000.

It is not an unprimeable number, because it can be changed into a prime (315125003) 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 13 ways as a sum of consecutive naturals, for example, 123740 + ... + 126260.

Almost surely, 2^315125000 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 315125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369428865).

315125000 is an abundant number, since it is smaller than the sum of its proper divisors (423732730).

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

315125000 is an frugal number, since it uses more digits than its factorization.

315125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 315125000 is about 17751.7604760767. The cubic root of 315125000 is about 680.4992009115.

Adding to 315125000 its reverse (521513), we get a palindrome (315646513).

The spelling of 315125000 in words is "three hundred fifteen million, one hundred twenty-five thousand".