513120384 has 384 divisors, whose sum is σ = 1890345600. Its totient is φ = 130056192.

The previous prime is 513120383. The next prime is 513120407. The reversal of 513120384 is 483021315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (513120383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604574 + ... + 2604770.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^513120384 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 513120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945172800).

513120384 is an abundant number, since it is smaller than the sum of its proper divisors (1377225216).

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

513120384 is a wasteful number, since it uses less digits than its factorization.

513120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 513120384 is about 22652.1606916426. The cubic root of 513120384 is about 800.5831082111.

Adding to 513120384 its reverse (483021315), we get a palindrome (996141699).

The spelling of 513120384 in words is "five hundred thirteen million, one hundred twenty thousand, three hundred eighty-four".