313075530 has 80 divisors (see below), whose sum is σ = 845238240. Its totient is φ = 83148768.

The previous prime is 313075513. The next prime is 313075531. The reversal of 313075530 is 35570313.

313075530 is a `hidden beast` number, since 31 + 30 + 75 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313075494 and 313075503.

It is not an unprimeable number, because it can be changed into a prime (313075531) 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 39 ways as a sum of consecutive naturals, for example, 248041 + ... + 249299.

It is an arithmetic number, because the mean of its divisors is an integer number (10565478).

Almost surely, 2^313075530 is an apocalyptic number.

313075530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313075530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422619120).

313075530 is an abundant number, since it is smaller than the sum of its proper divisors (532162710).

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

313075530 is a wasteful number, since it uses less digits than its factorization.

313075530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 313075530 is about 17693.9404882010. The cubic root of 313075530 is about 679.0207430023.

The spelling of 313075530 in words is "three hundred thirteen million, seventy-five thousand, five hundred thirty".