51817413312 has 756 divisors, whose sum is σ = 190310611504. Its totient is φ = 13705666560.

The previous prime is 51817413281. The next prime is 51817413313. The reversal of 51817413312 is 21331471815.

51817413312 is a `hidden beast` number, since 518 + 1 + 7 + 4 + 133 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (51817413313) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 849465762 + ... + 849465822.

Almost surely, 2^51817413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51817413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95155305752).

51817413312 is an abundant number, since it is smaller than the sum of its proper divisors (138493198192).

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

51817413312 is an frugal number, since it uses more digits than its factorization.

51817413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 51817413312 in words is "fifty-one billion, eight hundred seventeen million, four hundred thirteen thousand, three hundred twelve".