51334310000 has 100 divisors (see below), whose sum is σ = 125684143200. Its totient is φ = 20302656000.

The previous prime is 51334309997. The next prime is 51334310051. The reversal of 51334310000 is 1343315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×51334310000⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 861161 + ... + 918839.

It is an arithmetic number, because the mean of its divisors is an integer number (1256841432).

Almost surely, 2^51334310000 is an apocalyptic number.

51334310000 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 51334310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62842071600).

51334310000 is an abundant number, since it is smaller than the sum of its proper divisors (74349833200).

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

51334310000 is an equidigital number, since it uses as much as digits as its factorization.

51334310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57796 (or 57775 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 51334310000 its reverse (1343315), we get a palindrome (51335653315).

The spelling of 51334310000 in words is "fifty-one billion, three hundred thirty-four million, three hundred ten thousand".