513344432405200 has 120 divisors (see below), whose sum is σ = 1363859625986496. Its totient is φ = 184113569664000.

The previous prime is 513344432405197. The next prime is 513344432405209. The reversal of 513344432405200 is 2504234443315.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513344432405209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798782836 + ... + 799425235.

Almost surely, 2^{513344432405200} is an apocalyptic number.

513344432405200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513344432405200 is an abundant number, since it is smaller than the sum of its proper divisors (850515193581296).

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

513344432405200 is a wasteful number, since it uses less digits than its factorization.

513344432405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598208173 (or 1598208162 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 513344432405200 its reverse (2504234443315), we get a palindrome (515848666848515).

The spelling of 513344432405200 in words is "five hundred thirteen trillion, three hundred forty-four billion, four hundred thirty-two million, four hundred five thousand, two hundred".