513218104 has 64 divisors (see below), whose sum is σ = 1153958400. Its totient is φ = 209328000.

The previous prime is 513218099. The next prime is 513218131. The reversal of 513218104 is 401812315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113079 + ... + 117529.

It is an arithmetic number, because the mean of its divisors is an integer number (18030600).

Almost surely, 2^513218104 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 513218104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576979200).

513218104 is an abundant number, since it is smaller than the sum of its proper divisors (640740296).

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

513218104 is a wasteful number, since it uses less digits than its factorization.

513218104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 513218104 is about 22654.3175575871. The cubic root of 513218104 is about 800.6339267051.

The spelling of 513218104 in words is "five hundred thirteen million, two hundred eighteen thousand, one hundred four".