51034125312 has 132 divisors (see below), whose sum is σ = 148216351140. Its totient is φ = 16912515072.

The previous prime is 51034125281. The next prime is 51034125313. The reversal of 51034125312 is 21352143015.

51034125312 is a `hidden beast` number, since 5 + 1 + 0 + 341 + 2 + 5 + 312 = 666.

51034125312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18426433536 + 32607691776 = 135744^2 + 180576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51034125313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578364 + ... + 1610372.

It is an arithmetic number, because the mean of its divisors is an integer number (1122851145).

Almost surely, 2^51034125312 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 51034125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74108175570).

51034125312 is an abundant number, since it is smaller than the sum of its proper divisors (97182225828).

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

51034125312 is a wasteful number, since it uses less digits than its factorization.

51034125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32208 (or 32187 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51034125312 its reverse (21352143015), we get a palindrome (72386268327).

The spelling of 51034125312 in words is "fifty-one billion, thirty-four million, one hundred twenty-five thousand, three hundred twelve".