513413225200 has 60 divisors (see below), whose sum is σ = 1236969877968. Its totient is φ = 204783462400.

The previous prime is 513413225141. The next prime is 513413225203. The reversal of 513413225200 is 2522314315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513413225203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676836 + ... + 1959235.

Almost surely, 2^513413225200 is an apocalyptic number.

513413225200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513413225200 is an abundant number, since it is smaller than the sum of its proper divisors (723556652768).

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

513413225200 is a wasteful number, since it uses less digits than its factorization.

513413225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636442 (or 3636431 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 513413225200 its reverse (2522314315), we get a palindrome (515935539515).

The spelling of 513413225200 in words is "five hundred thirteen billion, four hundred thirteen million, two hundred twenty-five thousand, two hundred".