513365 has 4 divisors (see below), whose sum is σ = 616044. Its totient is φ = 410688.

The previous prime is 513353. The next prime is 513367. The reversal of 513365 is 563315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 563315 = 5 ⋅112663.

It can be written as a sum of positive squares in 2 ways, for example, as 303601 + 209764 = 551^2 + 458^2 .

It is a cyclic number.

It is not a de Polignac number, because 513365 - 2⁸ = 513109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513365.

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 513365.

It is not an unprimeable number, because it can be changed into a prime (513367) 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, 51332 + ... + 51341.

It is an arithmetic number, because the mean of its divisors is an integer number (154011).

2⁵¹³³⁶⁵ is an apocalyptic number.

It is an amenable number.

513365 is a deficient number, since it is larger than the sum of its proper divisors (102679).

513365 is a wasteful number, since it uses less digits than its factorization.

513365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102678.

The product of its digits is 1350, while the sum is 23.

The square root of 513365 is about 716.4949406660. The cubic root of 513365 is about 80.0710306644.

It can be divided in two parts, 513 and 365, that added together give a palindrome (878).

The spelling of 513365 in words is "five hundred thirteen thousand, three hundred sixty-five".