513113104 has 45 divisors (see below), whose sum is σ = 1157899197. Its totient is φ = 219633792.

The previous prime is 513113089. The next prime is 513113113. The reversal of 513113104 is 401311315.

The square root of 513113104 is 22652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 451647504 + 61465600 = 21252^2 + 7840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 633852 + ... + 634660.

Almost surely, 2^513113104 is an apocalyptic number.

513113104 is the 22652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513113104

513113104 is an abundant number, since it is smaller than the sum of its proper divisors (644786093).

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

513113104 is an frugal number, since it uses more digits than its factorization.

513113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The cubic root of 513113104 is about 800.5793220479.

Adding to 513113104 its reverse (401311315), we get a palindrome (914424419).

The spelling of 513113104 in words is "five hundred thirteen million, one hundred thirteen thousand, one hundred four".