513375 has 24 divisors (see below), whose sum is σ = 877968. Its totient is φ = 266400.

The previous prime is 513371. The next prime is 513397. The reversal of 513375 is 573315.

513375 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 513375 - 2² = 513371 is a prime.

Its product of digits (1575) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13857 + ... + 13893.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2⁵¹³³⁷⁵ is an apocalyptic number.

513375 is a deficient number, since it is larger than the sum of its proper divisors (364593).

513375 is an equidigital number, since it uses as much as digits as its factorization.

513375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its digits is 1575, while the sum is 24.

The square root of 513375 is about 716.5019190484. The cubic root of 513375 is about 80.0715505707.

It can be divided in two parts, 513 and 375, that added together give a palindrome (888).

The spelling of 513375 in words is "five hundred thirteen thousand, three hundred seventy-five".