513203460500 has 48 divisors (see below), whose sum is σ = 1120918890000. Its totient is φ = 205266268800.

The previous prime is 513203460491. The next prime is 513203460503. The reversal of 513203460500 is 5064302315.

It can be written as a sum of positive squares in 8 ways, for example, as 298172786704 + 215030673796 = 546052^2 + 463714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203460503) 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, 8845586 + ... + 8903414.

It is an arithmetic number, because the mean of its divisors is an integer number (23352476875).

Almost surely, 2^513203460500 is an apocalyptic number.

513203460500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513203460500 is an abundant number, since it is smaller than the sum of its proper divisors (607715429500).

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

513203460500 is a wasteful number, since it uses less digits than its factorization.

513203460500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75597 (or 75585 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 513203460500 its reverse (5064302315), we get a palindrome (518267762815).

The spelling of 513203460500 in words is "five hundred thirteen billion, two hundred three million, four hundred sixty thousand, five hundred".