313225506 has 48 divisors (see below), whose sum is σ = 743154048. Its totient is φ = 94557600.

The previous prime is 313225501. The next prime is 313225529. The reversal of 313225506 is 605522313.

313225506 is a `hidden beast` number, since 3 + 132 + 25 + 506 = 666.

It is a super-2 number, since 2×313225506² = 196220435217912072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313225506.

It is not an unprimeable number, because it can be changed into a prime (313225501) 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 23 ways as a sum of consecutive naturals, for example, 51991 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (15482376).

Almost surely, 2^313225506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313225506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371577024).

313225506 is an abundant number, since it is smaller than the sum of its proper divisors (429928542).

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

313225506 is a wasteful number, since it uses less digits than its factorization.

313225506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 313225506 is about 17698.1780418211. The cubic root of 313225506 is about 679.1291519411.

Adding to 313225506 its reverse (605522313), we get a palindrome (918747819).

The spelling of 313225506 in words is "three hundred thirteen million, two hundred twenty-five thousand, five hundred six".