513345 has 16 divisors (see below), whose sum is σ = 938880. Its totient is φ = 234624.

The previous prime is 513341. The next prime is 513347. The reversal of 513345 is 543315.

It is not a de Polignac number, because 513345 - 2² = 513341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (513341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (58680).

2⁵¹³³⁴⁵ is an apocalyptic number.

It is an amenable number.

513345 is a deficient number, since it is larger than the sum of its proper divisors (425535).

513345 is a wasteful number, since it uses less digits than its factorization.

513345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904.

The product of its digits is 900, while the sum is 21.

The square root of 513345 is about 716.4809836974. The cubic root of 513345 is about 80.0699908315.

It can be divided in two parts, 513 and 345, that added together give a palindrome (858).

The spelling of 513345 in words is "five hundred thirteen thousand, three hundred forty-five".