513873 has 6 divisors (see below), whose sum is σ = 742274. Its totient is φ = 342576.

The previous prime is 513871. The next prime is 513881. The reversal of 513873 is 378315.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 219024 = 543^2 + 468^2 .

It is not a de Polignac number, because 513873 - 2¹ = 513871 is a prime.

It is a Duffinian number.

513873 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513873.

It is not an unprimeable number, because it can be changed into a prime (513871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28540 + ... + 28557.

2⁵¹³⁸⁷³ is an apocalyptic number.

It is an amenable number.

513873 is a deficient number, since it is larger than the sum of its proper divisors (228401).

513873 is a wasteful number, since it uses less digits than its factorization.

513873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57103 (or 57100 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 513873 is about 716.8493565597. The cubic root of 513873 is about 80.0974333694.

The spelling of 513873 in words is "five hundred thirteen thousand, eight hundred seventy-three".