513535 has 8 divisors (see below), whose sum is σ = 672336. Its totient is φ = 373440.

The previous prime is 513533. The next prime is 513593. The reversal of 513535 is 535315.

513535 = 6² + 7² + ... + 115².

It is a happy number.

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

It is not a de Polignac number, because 513535 - 2¹ = 513533 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

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, 4614 + ... + 4723.

It is an arithmetic number, because the mean of its divisors is an integer number (84042).

2⁵¹³⁵³⁵ is an apocalyptic number.

513535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513535 is a deficient number, since it is larger than the sum of its proper divisors (158801).

513535 is a wasteful number, since it uses less digits than its factorization.

513535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353.

The product of its digits is 1125, while the sum is 22.

The square root of 513535 is about 716.6135639241. The cubic root of 513535 is about 80.0798681536.

The spelling of 513535 in words is "five hundred thirteen thousand, five hundred thirty-five".