315057216 has 112 divisors (see below), whose sum is σ = 881205248. Its totient is φ = 99187200.

The previous prime is 315057203. The next prime is 315057217. The reversal of 315057216 is 612750513.

It is a super-2 number, since 2×315057216² = 198522098707341312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315057217) 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 15 ways as a sum of consecutive naturals, for example, 255321 + ... + 256551.

It is an arithmetic number, because the mean of its divisors is an integer number (7867904).

Almost surely, 2^315057216 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 315057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440602624).

315057216 is an abundant number, since it is smaller than the sum of its proper divisors (566148032).

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

315057216 is a wasteful number, since it uses less digits than its factorization.

315057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 315057216 is about 17749.8511543055. The cubic root of 315057216 is about 680.4504051791.

The spelling of 315057216 in words is "three hundred fifteen million, fifty-seven thousand, two hundred sixteen".