513968 has 40 divisors (see below), whose sum is σ = 1229088. Its totient is φ = 202752.

The previous prime is 513943. The next prime is 513977. The reversal of 513968 is 869315.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 1632.

2⁵¹³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614544).

513968 is an abundant number, since it is smaller than the sum of its proper divisors (715120).

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

513968 is a wasteful number, since it uses less digits than its factorization.

513968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 513968 is about 716.9156156759. The cubic root of 513968 is about 80.1023689516.

The spelling of 513968 in words is "five hundred thirteen thousand, nine hundred sixty-eight".