513963 has 6 divisors (see below), whose sum is σ = 742404. Its totient is φ = 342636.

The previous prime is 513943. The next prime is 513977. The reversal of 513963 is 369315.

It is not a de Polignac number, because 513963 - 2⁶ = 513899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28545 + ... + 28562.

It is an arithmetic number, because the mean of its divisors is an integer number (123734).

2⁵¹³⁹⁶³ is an apocalyptic number.

513963 is a deficient number, since it is larger than the sum of its proper divisors (228441).

513963 is a wasteful number, since it uses less digits than its factorization.

513963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57113 (or 57110 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 513963 is about 716.9121285067. The cubic root of 513963 is about 80.1021091993.

The spelling of 513963 in words is "five hundred thirteen thousand, nine hundred sixty-three".