513031221600 has 144 divisors (see below), whose sum is σ = 1671867368640. Its totient is φ = 136648512000.

The previous prime is 513031221583. The next prime is 513031221673. The reversal of 513031221600 is 6122130315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1937175 + ... + 2186025.

It is an arithmetic number, because the mean of its divisors is an integer number (11610190060).

Almost surely, 2^513031221600 is an apocalyptic number.

513031221600 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 513031221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835933684320).

513031221600 is an abundant number, since it is smaller than the sum of its proper divisors (1158836147040).

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

513031221600 is a wasteful number, since it uses less digits than its factorization.

513031221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249733 (or 249720 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 513031221600 its reverse (6122130315), we get a palindrome (519153351915).

The spelling of 513031221600 in words is "five hundred thirteen billion, thirty-one million, two hundred twenty-one thousand, six hundred".