513530160 has 240 divisors, whose sum is σ = 1882165248. Its totient is φ = 114816000.

The previous prime is 513530111. The next prime is 513530167. The reversal of 513530160 is 61035315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513530160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513530167) 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, 445585 + ... + 446735.

Almost surely, 2^513530160 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 513530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941082624).

513530160 is an abundant number, since it is smaller than the sum of its proper divisors (1368635088).

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

513530160 is a wasteful number, since it uses less digits than its factorization.

513530160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 513530160 is about 22661.2038515168. The cubic root of 513530160 is about 800.7961657207.

Adding to 513530160 its reverse (61035315), we get a palindrome (574565475).

The spelling of 513530160 in words is "five hundred thirteen million, five hundred thirty thousand, one hundred sixty".