513880 has 32 divisors (see below), whose sum is σ = 1198800. Its totient is φ = 198016.

The previous prime is 513871. The next prime is 513881. The reversal of 513880 is 88315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513881) by changing a digit.

513880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 1381.

2⁵¹³⁸⁸⁰ 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 513880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599400).

513880 is an abundant number, since it is smaller than the sum of its proper divisors (684920).

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

513880 is a wasteful number, since it uses less digits than its factorization.

513880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 513880 is about 716.8542390193. The cubic root of 513880 is about 80.0977970646.

The spelling of 513880 in words is "five hundred thirteen thousand, eight hundred eighty".