513355320 has 80 divisors (see below), whose sum is σ = 1725455160. Its totient is φ = 136893888.

The previous prime is 513355267. The next prime is 513355327. The reversal of 513355320 is 23553315.

513355320 is a `hidden beast` number, since 5 + 1 + 335 + 5 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513355327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75982 + ... + 82461.

Almost surely, 2^513355320 is an apocalyptic number.

It is an amenable number.

513355320 is an abundant number, since it is smaller than the sum of its proper divisors (1212099840).

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

513355320 is a wasteful number, since it uses less digits than its factorization.

513355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158466 (or 158453 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 513355320 is about 22657.3458286711. The cubic root of 513355320 is about 800.7052738866.

The spelling of 513355320 in words is "five hundred thirteen million, three hundred fifty-five thousand, three hundred twenty".