51259485312 has 384 divisors, whose sum is σ = 184036070400. Its totient is φ = 13873628160.

The previous prime is 51259485289. The next prime is 51259485313. The reversal of 51259485312 is 21358495215.

51259485312 is a `hidden beast` number, since 5 + 1 + 2 + 594 + 8 + 53 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51259485312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51259485313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4130637 + ... + 4143027.

It is an arithmetic number, because the mean of its divisors is an integer number (479260600).

Almost surely, 2^51259485312 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 51259485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92018035200).

51259485312 is an abundant number, since it is smaller than the sum of its proper divisors (132776585088).

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

51259485312 is a wasteful number, since it uses less digits than its factorization.

51259485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12422 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 51259485312 in words is "fifty-one billion, two hundred fifty-nine million, four hundred eighty-five thousand, three hundred twelve".