520513344 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 142442496.

The previous prime is 520513333. The next prime is 520513381. The reversal of 520513344 is 443315025.

520513344 is a `hidden beast` number, since 520 + 5 + 133 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 11074729 + ... + 11074775.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^520513344 is an apocalyptic number.

520513344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

520513344 is an abundant number, since it is smaller than the sum of its proper divisors (1322917056).

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

520513344 is a wasteful number, since it uses less digits than its factorization.

520513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 520513344 is about 22814.7615372153. The cubic root of 520513344 is about 804.4096820534.

Adding to 520513344 its reverse (443315025), we get a palindrome (963828369).

The spelling of 520513344 in words is "five hundred twenty million, five hundred thirteen thousand, three hundred forty-four".