51413012000 has 384 divisors, whose sum is σ = 152977144320. Its totient is φ = 16588800000.

The previous prime is 51413011933. The next prime is 51413012033. The reversal of 51413012000 is 21031415.

It is a self number, because there is not a number n which added to its sum of digits gives 51413012000.

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 63 ways as a sum of consecutive naturals, for example, 128211800 + ... + 128212200.

It is an arithmetic number, because the mean of its divisors is an integer number (398377980).

Almost surely, 2^51413012000 is an apocalyptic number.

51413012000 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 51413012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76488572160).

51413012000 is an abundant number, since it is smaller than the sum of its proper divisors (101564132320).

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

51413012000 is a wasteful number, since it uses less digits than its factorization.

51413012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 51413012000 its reverse (21031415), we get a palindrome (51434043415).

The spelling of 51413012000 in words is "fifty-one billion, four hundred thirteen million, twelve thousand".