513768 has 16 divisors (see below), whose sum is σ = 1284480. Its totient is φ = 171248.

The previous prime is 513767. The next prime is 513769. The reversal of 513768 is 867315.

It is an interprime number because it is at equal distance from previous prime (513767) and next prime (513769).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513768.

It is not an unprimeable number, because it can be changed into a prime (513761) 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, 10680 + ... + 10727.

It is an arithmetic number, because the mean of its divisors is an integer number (80280).

2⁵¹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

513768 is an abundant number, since it is smaller than the sum of its proper divisors (770712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513768 is a wasteful number, since it uses less digits than its factorization.

513768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21416 (or 21412 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 513768 is about 716.7761156735. The cubic root of 513768 is about 80.0919775444.

The spelling of 513768 in words is "five hundred thirteen thousand, seven hundred sixty-eight".