513104 has 10 divisors (see below), whose sum is σ = 994170. Its totient is φ = 256544.

The previous prime is 513103. The next prime is 513109. The reversal of 513104 is 401315.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 23104 = 700^2 + 152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16019 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (99417).

2⁵¹³¹⁰⁴ is an apocalyptic number.

It is an amenable number.

513104 is a deficient number, since it is larger than the sum of its proper divisors (481066).

513104 is a wasteful number, since it uses less digits than its factorization.

513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32077 (or 32071 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513104 is about 716.3127808437. The cubic root of 513104 is about 80.0574587213.

Adding to 513104 its reverse (401315), we get a palindrome (914419).

The spelling of 513104 in words is "five hundred thirteen thousand, one hundred four".