313521516 has 288 divisors, whose sum is σ = 1056706560. Its totient is φ = 78926400.

The previous prime is 313521493. The next prime is 313521529. The reversal of 313521516 is 615125313.

313521516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313521516.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4415761 + ... + 4415831.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^313521516 is an apocalyptic number.

313521516 is a gapful number since it is divisible by the number (36) 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 313521516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

313521516 is an abundant number, since it is smaller than the sum of its proper divisors (743185044).

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

313521516 is a wasteful number, since it uses less digits than its factorization.

313521516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 313521516 is about 17706.5387922089. The cubic root of 313521516 is about 679.3430188655.

Adding to 313521516 its reverse (615125313), we get a palindrome (928646829).

The spelling of 313521516 in words is "three hundred thirteen million, five hundred twenty-one thousand, five hundred sixteen".