513355 has 8 divisors (see below), whose sum is σ = 623952. Its totient is φ = 405408.

The previous prime is 513353. The next prime is 513367. The reversal of 513355 is 553315.

513355 = 290² + 291² + ... + 295².

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513355 - 2¹ = 513353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (77994).

2⁵¹³³⁵⁵ is an apocalyptic number.

513355 is a deficient number, since it is larger than the sum of its proper divisors (110597).

513355 is a wasteful number, since it uses less digits than its factorization.

513355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

The product of its digits is 1125, while the sum is 22.

The square root of 513355 is about 716.4879622157. The cubic root of 513355 is about 80.0705107513.

It can be divided in two parts, 513 and 355, that added together give a palindrome (868).

The spelling of 513355 in words is "five hundred thirteen thousand, three hundred fifty-five".