513024050200 has 96 divisors (see below), whose sum is σ = 1255985236800. Its totient is φ = 194343096960.

The previous prime is 513024050183. The next prime is 513024050251. The reversal of 513024050200 is 2050420315.

It is a super-2 number, since 2×513024050200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11998059 + ... + 12040741.

It is an arithmetic number, because the mean of its divisors is an integer number (13083179550).

Almost surely, 2^513024050200 is an apocalyptic number.

513024050200 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 513024050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627992618400).

513024050200 is an abundant number, since it is smaller than the sum of its proper divisors (742961186600).

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

513024050200 is a wasteful number, since it uses less digits than its factorization.

513024050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45881 (or 45872 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 513024050200 its reverse (2050420315), we get a palindrome (515074470515).

The spelling of 513024050200 in words is "five hundred thirteen billion, twenty-four million, fifty thousand, two hundred".