51021313200 has 360 divisors, whose sum is σ = 208014446640. Its totient is φ = 11417241600.

The previous prime is 51021313199. The next prime is 51021313219. The reversal of 51021313200 is 231312015.

51021313200 is a `hidden beast` number, since 510 + 2 + 131 + 3 + 20 + 0 = 666.

51021313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 465246 + ... + 564354.

Almost surely, 2^51021313200 is an apocalyptic number.

51021313200 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 51021313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104007223320).

51021313200 is an abundant number, since it is smaller than the sum of its proper divisors (156993133440).

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

51021313200 is a wasteful number, since it uses less digits than its factorization.

51021313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99157 (or 99143 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 51021313200 its reverse (231312015), we get a palindrome (51252625215).

The spelling of 51021313200 in words is "fifty-one billion, twenty-one million, three hundred thirteen thousand, two hundred".