513043051300 has 162 divisors, whose sum is σ = 1248567767538. Its totient is φ = 182894100480.

The previous prime is 513043051277. The next prime is 513043051303. The reversal of 513043051300 is 3150340315.

It can be written as a sum of positive squares in 27 ways, for example, as 467667235044 + 45375816256 = 683862^2 + 213016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (513043051303) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14194852 + ... + 14230948.

Almost surely, 2^513043051300 is an apocalyptic number.

513043051300 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 513043051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624283883769).

513043051300 is an abundant number, since it is smaller than the sum of its proper divisors (735524716238).

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

513043051300 is a wasteful number, since it uses less digits than its factorization.

513043051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36195 (or 36146 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 513043051300 its reverse (3150340315), we get a palindrome (516193391615).

The spelling of 513043051300 in words is "five hundred thirteen billion, forty-three million, fifty-one thousand, three hundred".