513534 has 16 divisors (see below), whose sum is σ = 1173888. Its totient is φ = 146712.

The previous prime is 513533. The next prime is 513593. The reversal of 513534 is 435315.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 513534.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6072 + ... + 6155.

It is an arithmetic number, because the mean of its divisors is an integer number (73368).

2⁵¹³⁵³⁴ is an apocalyptic number.

513534 is an abundant number, since it is smaller than the sum of its proper divisors (660354).

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

513534 is a wasteful number, since it uses less digits than its factorization.

513534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239.

The product of its digits is 900, while the sum is 21.

The square root of 513534 is about 716.6128661976. The cubic root of 513534 is about 80.0798161741.

Adding to 513534 its reverse (435315), we get a palindrome (948849).

The spelling of 513534 in words is "five hundred thirteen thousand, five hundred thirty-four".