313515072 has 168 divisors, whose sum is σ = 977722200. Its totient is φ = 95477760.

The previous prime is 313515053. The next prime is 313515073. The reversal of 313515072 is 270515313.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 312016896 = 1224^2 + 17664^2 .

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (313515073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115572 + ... + 1115852.

It is an arithmetic number, because the mean of its divisors is an integer number (5819775).

Almost surely, 2^313515072 is an apocalyptic number.

313515072 is a gapful number since it is divisible by the number (32) 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 313515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488861100).

313515072 is an abundant number, since it is smaller than the sum of its proper divisors (664207128).

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

313515072 is a wasteful number, since it uses less digits than its factorization.

313515072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 313515072 is about 17706.3568245983. The cubic root of 313515072 is about 679.3383645157.

The spelling of 313515072 in words is "three hundred thirteen million, five hundred fifteen thousand, seventy-two".