513263 has 8 divisors (see below), whose sum is σ = 532800. Its totient is φ = 494208.

The previous prime is 513257. The next prime is 513269. The reversal of 513263 is 362315.

It is an interprime number because it is at equal distance from previous prime (513257) and next prime (513269).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513269) 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, 5723 + ... + 5811.

It is an arithmetic number, because the mean of its divisors is an integer number (66600).

2⁵¹³²⁶³ is an apocalyptic number.

513263 is a deficient number, since it is larger than the sum of its proper divisors (19537).

513263 is an equidigital number, since it uses as much as digits as its factorization.

513263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

The product of its digits is 540, while the sum is 20.

The square root of 513263 is about 716.4237572834. The cubic root of 513263 is about 80.0657272343.

Adding to 513263 its reverse (362315), we get a palindrome (875578).

The spelling of 513263 in words is "five hundred thirteen thousand, two hundred sixty-three".