513101316 has 96 divisors (see below), whose sum is σ = 1477934080. Its totient is φ = 134918784.

The previous prime is 513101299. The next prime is 513101339. The reversal of 513101316 is 613101315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 513101292 and 513101301.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 596895 + ... + 597753.

Almost surely, 2^513101316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513101316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738967040).

513101316 is an abundant number, since it is smaller than the sum of its proper divisors (964832764).

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

513101316 is a wasteful number, since it uses less digits than its factorization.

513101316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 513101316 is about 22651.7398007305. The cubic root of 513101316 is about 800.5731912999.

Subtracting 513101316 from its reverse (613101315), we obtain a palindrome (99999999).

The spelling of 513101316 in words is "five hundred thirteen million, one hundred one thousand, three hundred sixteen".