513363 has 8 divisors (see below), whose sum is σ = 688576. Its totient is φ = 340200.

The previous prime is 513353. The next prime is 513367. The reversal of 513363 is 363315.

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

It is not a de Polignac number, because 513363 - 2⁴ = 513347 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 228 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (86072).

2⁵¹³³⁶³ is an apocalyptic number.

513363 is a deficient number, since it is larger than the sum of its proper divisors (175213).

513363 is a wasteful number, since it uses less digits than its factorization.

513363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025.

The product of its digits is 810, while the sum is 21.

The square root of 513363 is about 716.4935449814. The cubic root of 513363 is about 80.0709266823.

Adding to 513363 its reverse (363315), we get a palindrome (876678).

The spelling of 513363 in words is "five hundred thirteen thousand, three hundred sixty-three".