313532512 has 48 divisors (see below), whose sum is σ = 643047552. Its totient is φ = 150312960.

The previous prime is 313532503. The next prime is 313532519. The reversal of 313532512 is 215235313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313532519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110698 + ... + 113494.

It is an arithmetic number, because the mean of its divisors is an integer number (13396824).

Almost surely, 2^313532512 is an apocalyptic number.

313532512 is a gapful number since it is divisible by the number (32) 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 313532512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321523776).

313532512 is an abundant number, since it is smaller than the sum of its proper divisors (329515040).

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

313532512 is a wasteful number, since it uses less digits than its factorization.

313532512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2943 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 313532512 is about 17706.8492962469. The cubic root of 313532512 is about 679.3509608706.

Adding to 313532512 its reverse (215235313), we get a palindrome (528767825).

The spelling of 313532512 in words is "three hundred thirteen million, five hundred thirty-two thousand, five hundred twelve".