513073 has 4 divisors (see below), whose sum is σ = 559728. Its totient is φ = 466420.

The previous prime is 513067. The next prime is 513083. The reversal of 513073 is 370315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513073 - 2⁵ = 513041 is a prime.

It is a Duffinian number.

513073 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 513073.

It is not an unprimeable number, because it can be changed into a prime (513013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23311 + ... + 23332.

It is an arithmetic number, because the mean of its divisors is an integer number (139932).

2⁵¹³⁰⁷³ is an apocalyptic number.

It is an amenable number.

513073 is a deficient number, since it is larger than the sum of its proper divisors (46655).

513073 is a wasteful number, since it uses less digits than its factorization.

513073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46654.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 513073 is about 716.2911419248. The cubic root of 513073 is about 80.0558464223.

Adding to 513073 its reverse (370315), we get a palindrome (883388).

The spelling of 513073 in words is "five hundred thirteen thousand, seventy-three".