513842384 has 80 divisors (see below), whose sum is σ = 1174418880. Its totient is φ = 215239680.

The previous prime is 513842377. The next prime is 513842429. The reversal of 513842384 is 483248315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121652 + ... + 125804.

It is an arithmetic number, because the mean of its divisors is an integer number (14680236).

Almost surely, 2^513842384 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 513842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587209440).

513842384 is an abundant number, since it is smaller than the sum of its proper divisors (660576496).

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

513842384 is a wasteful number, since it uses less digits than its factorization.

513842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4222 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 513842384 is about 22668.0917591226. The cubic root of 513842384 is about 800.9584263152.

The spelling of 513842384 in words is "five hundred thirteen million, eight hundred forty-two thousand, three hundred eighty-four".