513135 has 40 divisors (see below), whose sum is σ = 1057056. Its totient is φ = 233280.

The previous prime is 513131. The next prime is 513137. The reversal of 513135 is 531315.

It is a happy number.

It is not a de Polignac number, because 513135 - 2² = 513131 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745 + ... + 2925.

2⁵¹³¹³⁵ is an apocalyptic number.

513135 is an abundant number, since it is smaller than the sum of its proper divisors (543921).

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

513135 is a wasteful number, since it uses less digits than its factorization.

513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 513135 is about 716.3344191088. The cubic root of 513135 is about 80.0590709554.

The spelling of 513135 in words is "five hundred thirteen thousand, one hundred thirty-five".