513428184000 has 672 divisors, whose sum is σ = 1955468174400. Its totient is φ = 128220364800.

The previous prime is 513428183993. The next prime is 513428184007. The reversal of 513428184000 is 481824315.

513428184000 is a `hidden beast` number, since 51 + 3 + 428 + 184 + 0 + 0 + 0 = 666.

513428184000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (513428183993) and next prime (513428184007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513428184007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121749892 + ... + 121754108.

Almost surely, 2^513428184000 is an apocalyptic number.

513428184000 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 513428184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977734087200).

513428184000 is an abundant number, since it is smaller than the sum of its proper divisors (1442039990400).

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

513428184000 is a wasteful number, since it uses less digits than its factorization.

513428184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 513428184000 in words is "five hundred thirteen billion, four hundred twenty-eight million, one hundred eighty-four thousand".