315253100 has 72 divisors (see below), whose sum is σ = 742171248. Its totient is φ = 115763200.

The previous prime is 315253091. The next prime is 315253109. The reversal of 315253100 is 1352513.

It is an interprime number because it is at equal distance from previous prime (315253091) and next prime (315253109).

It is a super-2 number, since 2×315253100² = 198769034119220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (315253109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67439 + ... + 71961.

It is an arithmetic number, because the mean of its divisors is an integer number (10307934).

Almost surely, 2^315253100 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 315253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371085624).

315253100 is an abundant number, since it is smaller than the sum of its proper divisors (426918148).

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

315253100 is a wasteful number, since it uses less digits than its factorization.

315253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 315253100 is about 17755.3682023212. The cubic root of 315253100 is about 680.5913972763.

The spelling of 315253100 in words is "three hundred fifteen million, two hundred fifty-three thousand, one hundred".