513760 has 72 divisors (see below), whose sum is σ = 1383480. Its totient is φ = 179712.

The previous prime is 513749. The next prime is 513761. The reversal of 513760 is 67315.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27031 + ... + 27049.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2⁵¹³⁷⁶⁰ 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 513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691740).

513760 is an abundant number, since it is smaller than the sum of its proper divisors (869720).

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

513760 is a wasteful number, since it uses less digits than its factorization.

513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 513760 is about 716.7705351087. The cubic root of 513760 is about 80.0915618321.

The spelling of 513760 in words is "five hundred thirteen thousand, seven hundred sixty".