513325500 has 96 divisors (see below), whose sum is σ = 1559900160. Its totient is φ = 130926400.

The previous prime is 513325487. The next prime is 513325513. The reversal of 513325500 is 5523315.

It is an interprime number because it is at equal distance from previous prime (513325487) and next prime (513325513).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27061 + ... + 41939.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^513325500 is an apocalyptic number.

513325500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513325500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

513325500 is an abundant number, since it is smaller than the sum of its proper divisors (1046574660).

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

513325500 is a wasteful number, since it uses less digits than its factorization.

513325500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 513325500 is about 22656.6877543916. The cubic root of 513325500 is about 800.6897696846.

Adding to 513325500 its reverse (5523315), we get a palindrome (518848815).

The spelling of 513325500 in words is "five hundred thirteen million, three hundred twenty-five thousand, five hundred".