513066700800 has 1248 divisors, whose sum is σ = 1998866112000. Its totient is φ = 130427781120.

The previous prime is 513066700787. The next prime is 513066700823. The reversal of 513066700800 is 8007660315.

513066700800 is a `hidden beast` number, since 513 + 0 + 6 + 67 + 0 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6494515161 + ... + 6494515239.

Almost surely, 2^513066700800 is an apocalyptic number.

513066700800 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 513066700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999433056000).

513066700800 is an abundant number, since it is smaller than the sum of its proper divisors (1485799411200).

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

513066700800 is an frugal number, since it uses more digits than its factorization.

513066700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 513066700800 in words is "five hundred thirteen billion, sixty-six million, seven hundred thousand, eight hundred".