315725256 has 256 divisors, whose sum is σ = 1122508800. Its totient is φ = 79833600.

The previous prime is 315725251. The next prime is 315725257. The reversal of 315725256 is 652527513.

315725256 is a `hidden beast` number, since 31 + 572 + 5 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 315725256.

It is not an unprimeable number, because it can be changed into a prime (315725251) 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 63 ways as a sum of consecutive naturals, for example, 681681 + ... + 682143.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2^315725256 is an apocalyptic number.

315725256 is a gapful number since it is divisible by the number (36) 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 315725256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561254400).

315725256 is an abundant number, since it is smaller than the sum of its proper divisors (806783544).

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

315725256 is a wasteful number, since it uses less digits than its factorization.

315725256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 315725256 is about 17768.6593754284. The cubic root of 315725256 is about 680.9310027323.

The spelling of 315725256 in words is "three hundred fifteen million, seven hundred twenty-five thousand, two hundred fifty-six".