51286701312 has 1008 divisors, whose sum is σ = 198172896768. Its totient is φ = 12854661120.

The previous prime is 51286701299. The next prime is 51286701337. The reversal of 51286701312 is 21310768215.

51286701312 is a `hidden beast` number, since 512 + 8 + 6 + 7 + 0 + 131 + 2 = 666.

51286701312 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 (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 617912023 + ... + 617912105.

It is an arithmetic number, because the mean of its divisors is an integer number (196600096).

Almost surely, 2^51286701312 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 51286701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99086448384).

51286701312 is an abundant number, since it is smaller than the sum of its proper divisors (146886195456).

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

51286701312 is an equidigital number, since it uses as much as digits as its factorization.

51286701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

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

The spelling of 51286701312 in words is "fifty-one billion, two hundred eighty-six million, seven hundred one thousand, three hundred twelve".