513693 has 6 divisors (see below), whose sum is σ = 742014. Its totient is φ = 342456.

The previous prime is 513691. The next prime is 513697. The reversal of 513693 is 396315.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 131769 = 618^2 + 363^2 .

It is not a de Polignac number, because 513693 - 2¹ = 513691 is a prime.

513693 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513693.

It is not an unprimeable number, because it can be changed into a prime (513691) 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 5 ways as a sum of consecutive naturals, for example, 28530 + ... + 28547.

It is an arithmetic number, because the mean of its divisors is an integer number (123669).

2⁵¹³⁶⁹³ is an apocalyptic number.

It is an amenable number.

513693 is a deficient number, since it is larger than the sum of its proper divisors (228321).

513693 is a wasteful number, since it uses less digits than its factorization.

513693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57083 (or 57080 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 513693 is about 716.7237961726. The cubic root of 513693 is about 80.0880800715.

The spelling of 513693 in words is "five hundred thirteen thousand, six hundred ninety-three".