513664320 has 224 divisors, whose sum is σ = 1781982720. Its totient is φ = 124600320.

The previous prime is 513664273. The next prime is 513664321. The reversal of 513664320 is 23466315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513664321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985660 + ... + 986180.

It is an arithmetic number, because the mean of its divisors is an integer number (7955280).

Almost surely, 2^513664320 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 513664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890991360).

513664320 is an abundant number, since it is smaller than the sum of its proper divisors (1268318400).

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

513664320 is a wasteful number, since it uses less digits than its factorization.

513664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 513664320 is about 22664.1637833828. The cubic root of 513664320 is about 800.8658957758.

The spelling of 513664320 in words is "five hundred thirteen million, six hundred sixty-four thousand, three hundred twenty".