513606320 has 20 divisors (see below), whose sum is σ = 1194134880. Its totient is φ = 205442496.

The previous prime is 513606299. The next prime is 513606323. The reversal of 513606320 is 23606315.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 513606320.

It is not an unprimeable number, because it can be changed into a prime (513606323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3209960 + ... + 3210119.

It is an arithmetic number, because the mean of its divisors is an integer number (59706744).

Almost surely, 2^513606320 is an apocalyptic number.

It is an amenable number.

513606320 is an abundant number, since it is smaller than the sum of its proper divisors (680528560).

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

513606320 is a wasteful number, since it uses less digits than its factorization.

513606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420092 (or 6420086 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 513606320 is about 22662.8841942062. The cubic root of 513606320 is about 800.8357515950.

The spelling of 513606320 in words is "five hundred thirteen million, six hundred six thousand, three hundred twenty".