513538 has 8 divisors (see below), whose sum is σ = 773388. Its totient is φ = 255744.

The previous prime is 513533. The next prime is 513593. The reversal of 513538 is 835315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 499849 + 13689 = 707^2 + 117^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (513533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 1162.

2⁵¹³⁵³⁸ is an apocalyptic number.

513538 is a deficient number, since it is larger than the sum of its proper divisors (259850).

513538 is a wasteful number, since it uses less digits than its factorization.

513538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028.

The product of its digits is 1800, while the sum is 25.

The square root of 513538 is about 716.6156570994. The cubic root of 513538 is about 80.0800240918.

The spelling of 513538 in words is "five hundred thirteen thousand, five hundred thirty-eight".