51352112000000 has 308 divisors, whose sum is σ = 146647121955312. Its totient is φ = 17606400000000.

The previous prime is 51352111999967. The next prime is 51352112000009. The reversal of 51352112000000 is 21125315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51352112000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 111770750 + ... + 112229250.

Almost surely, 2^{51352112000000} is an apocalyptic number.

51352112000000 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 51352112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73323560977656).

51352112000000 is an abundant number, since it is smaller than the sum of its proper divisors (95295009955312).

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

51352112000000 is an frugal number, since it uses more digits than its factorization.

51352112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458558 (or 458515 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 51352112000000 its reverse (21125315), we get a palindrome (51352133125315).

The spelling of 51352112000000 in words is "fifty-one trillion, three hundred fifty-two billion, one hundred twelve million", and thus it is an aban number.