513243360 has 288 divisors, whose sum is σ = 2037934080. Its totient is φ = 115190784.

The previous prime is 513243359. The next prime is 513243389. The reversal of 513243360 is 63342315.

It is a happy number.

513243360 is a `hidden beast` number, since 5 + 1 + 324 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594289 + ... + 595151.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^513243360 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 513243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

513243360 is an abundant number, since it is smaller than the sum of its proper divisors (1524690720).

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

513243360 is a wasteful number, since it uses less digits than its factorization.

513243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 513243360 is about 22654.8749720673. The cubic root of 513243360 is about 800.6470598342.

Adding to 513243360 its reverse (63342315), we get a palindrome (576585675).

The spelling of 513243360 in words is "five hundred thirteen million, two hundred forty-three thousand, three hundred sixty".