513100800000 has 1008 divisors, whose sum is σ = 1976584834224. Its totient is φ = 127795200000.

The previous prime is 513100799971. The next prime is 513100800007. The reversal of 513100800000 is 8001315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513100800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3916799935 + ... + 3916800065.

It is an arithmetic number, because the mean of its divisors is an integer number (1960897653).

Almost surely, 2^513100800000 is an apocalyptic number.

513100800000 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 513100800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988292417112).

513100800000 is an abundant number, since it is smaller than the sum of its proper divisors (1463484034224).

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

513100800000 is an equidigital number, since it uses as much as digits as its factorization.

513100800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 513100800000 its reverse (8001315), we get a palindrome (513108801315).

The spelling of 513100800000 in words is "five hundred thirteen billion, one hundred million, eight hundred thousand".