513225520 has 80 divisors (see below), whose sum is σ = 1240858080. Its totient is φ = 197240832.

The previous prime is 513225509. The next prime is 513225521. The reversal of 513225520 is 25522315.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (513225521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244636 + ... + 246724.

It is an arithmetic number, because the mean of its divisors is an integer number (15510726).

Almost surely, 2^513225520 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 513225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620429040).

513225520 is an abundant number, since it is smaller than the sum of its proper divisors (727632560).

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

513225520 is a wasteful number, since it uses less digits than its factorization.

513225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 513225520 is about 22654.4812344048. The cubic root of 513225520 is about 800.6377830725.

Adding to 513225520 its reverse (25522315), we get a palindrome (538747835).

The spelling of 513225520 in words is "five hundred thirteen million, two hundred twenty-five thousand, five hundred twenty".