513105 has 16 divisors (see below), whose sum is σ = 833280. Its totient is φ = 269568.

The previous prime is 513103. The next prime is 513109. The reversal of 513105 is 501315.

513105 = 222² + 223² + ... + 231².

It is not a de Polignac number, because 513105 - 2¹ = 513103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513101) 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, 969 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2⁵¹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

513105 is a deficient number, since it is larger than the sum of its proper divisors (320175).

513105 is a wasteful number, since it uses less digits than its factorization.

513105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 513105 is about 716.3134788624. The cubic root of 513105 is about 80.0575107299.

It can be divided in two parts, 51310 and 5, that added together give a palindrome (51315).

The spelling of 513105 in words is "five hundred thirteen thousand, one hundred five".