311315058 has 48 divisors (see below), whose sum is σ = 705720600. Its totient is φ = 99052800.

The previous prime is 311315047. The next prime is 311315129. The reversal of 311315058 is 850513113.

It can be written as a sum of positive squares in 4 ways, for example, as 213364449 + 97950609 = 14607^2 + 9897^2 .

It is an unprimeable number.

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, 43108 + ... + 49808.

Almost surely, 2^311315058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311315058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352860300).

311315058 is an abundant number, since it is smaller than the sum of its proper divisors (394405542).

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

311315058 is a wasteful number, since it uses less digits than its factorization.

311315058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 311315058 is about 17644.1224774711. The cubic root of 311315058 is about 677.7456037780.

The spelling of 311315058 in words is "three hundred eleven million, three hundred fifteen thousand, fifty-eight".