513462320 has 80 divisors (see below), whose sum is σ = 1401273408. Its totient is φ = 171279360.

The previous prime is 513462307. The next prime is 513462343. The reversal of 513462320 is 23264315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 513462320.

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 15 ways as a sum of consecutive naturals, for example, 8330 + ... + 33110.

Almost surely, 2^513462320 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 513462320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700636704).

513462320 is an abundant number, since it is smaller than the sum of its proper divisors (887811088).

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

513462320 is a wasteful number, since it uses less digits than its factorization.

513462320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24838 (or 24832 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 513462320 is about 22659.7069707443. The cubic root of 513462320 is about 800.7609010575.

The spelling of 513462320 in words is "five hundred thirteen million, four hundred sixty-two thousand, three hundred twenty".