513728740 has 144 divisors (see below), whose sum is σ = 1309537152. Its totient is φ = 168666624.

The previous prime is 513728717. The next prime is 513728741. The reversal of 513728740 is 47827315.

It is a self number, because there is not a number n which added to its sum of digits gives 513728740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513728741) 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, 3076137 + ... + 3076303.

It is an arithmetic number, because the mean of its divisors is an integer number (9094008).

Almost surely, 2^513728740 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 513728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654768576).

513728740 is an abundant number, since it is smaller than the sum of its proper divisors (795808412).

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

513728740 is a wasteful number, since it uses less digits than its factorization.

513728740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 513728740 is about 22665.5849251679. The cubic root of 513728740 is about 800.8993739459.

The spelling of 513728740 in words is "five hundred thirteen million, seven hundred twenty-eight thousand, seven hundred forty".