51351300520000 has 560 divisors, whose sum is σ = 143256053888640. Its totient is φ = 18115282944000.

The previous prime is 51351300519947. The next prime is 51351300520081. The reversal of 51351300520000 is 2500315315.

It is a super-3 number, since 3×51351300520000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13502838099 + ... + 13502841901.

It is an arithmetic number, because the mean of its divisors is an integer number (255814381944).

Almost surely, 2^{51351300520000} is an apocalyptic number.

51351300520000 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 51351300520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628026944320).

51351300520000 is an abundant number, since it is smaller than the sum of its proper divisors (91904753368640).

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

51351300520000 is a wasteful number, since it uses less digits than its factorization.

51351300520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 51351300520000 its reverse (2500315315), we get a palindrome (51353800835315).

The spelling of 51351300520000 in words is "fifty-one trillion, three hundred fifty-one billion, three hundred million, five hundred twenty thousand".