512613 has 6 divisors (see below), whose sum is σ = 740454. Its totient is φ = 341736.

The previous prime is 512609. The next prime is 512621. The reversal of 512613 is 316215.

Added to its reverse (316215) it gives a triangular number (828828 = T₁₂₈₇).

512613 is a `hidden beast` number, since 51 + 2 + 613 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 173889 = 582^2 + 417^2 .

It is not a de Polignac number, because 512613 - 2² = 512609 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28470 + ... + 28487.

It is an arithmetic number, because the mean of its divisors is an integer number (123409).

2⁵¹²⁶¹³ is an apocalyptic number.

It is an amenable number.

512613 is a deficient number, since it is larger than the sum of its proper divisors (227841).

512613 is a wasteful number, since it uses less digits than its factorization.

512613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56963 (or 56960 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 512613 is about 715.9699714374. The cubic root of 512613 is about 80.0319143501.

Adding to 512613 its reverse (316215), we get a palindrome (828828).

The spelling of 512613 in words is "five hundred twelve thousand, six hundred thirteen".