513738547200 has 1344 divisors, whose sum is σ = 2025641303040. Its totient is φ = 128994508800.

The previous prime is 513738547199. The next prime is 513738547213. The reversal of 513738547200 is 2745837315.

513738547200 is a `hidden beast` number, since 5 + 13 + 73 + 8 + 547 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 13884825582 + ... + 13884825618.

Almost surely, 2^513738547200 is an apocalyptic number.

513738547200 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 513738547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012820651520).

513738547200 is an abundant number, since it is smaller than the sum of its proper divisors (1511902755840).

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

513738547200 is an frugal number, since it uses more digits than its factorization.

513738547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 513738547200 in words is "five hundred thirteen billion, seven hundred thirty-eight million, five hundred forty-seven thousand, two hundred".