513376 has 24 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 251520.

The previous prime is 513371. The next prime is 513397. The reversal of 513376 is 673315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 513376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513371) by changing a digit.

513376 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 3 ways as a sum of consecutive naturals, for example, 1821 + ... + 2083.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

2⁵¹³³⁷⁶ 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 513376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

513376 is an abundant number, since it is smaller than the sum of its proper divisors (517808).

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

513376 is a wasteful number, since it uses less digits than its factorization.

513376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 513376 is about 716.5026168829. The cubic root of 513376 is about 80.0716025610.

The spelling of 513376 in words is "five hundred thirteen thousand, three hundred seventy-six".