313138560 has 256 divisors, whose sum is σ = 1191490560. Its totient is φ = 68395008.

The previous prime is 313138543. The next prime is 313138561. The reversal of 313138560 is 65831313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313138561) 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 31 ways as a sum of consecutive naturals, for example, 308614 + ... + 309626.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2^313138560 is an apocalyptic number.

313138560 is a gapful number since it is divisible by the number (30) 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 313138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595745280).

313138560 is an abundant number, since it is smaller than the sum of its proper divisors (878352000).

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

313138560 is a wasteful number, since it uses less digits than its factorization.

313138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 313138560 is about 17695.7215167961. The cubic root of 313138560 is about 679.0663079448.

Adding to 313138560 its reverse (65831313), we get a palindrome (378969873).

The spelling of 313138560 in words is "three hundred thirteen million, one hundred thirty-eight thousand, five hundred sixty".