51135336125244 has 384 divisors, whose sum is σ = 161832867840000. Its totient is φ = 13637748176640.

The previous prime is 51135336125221. The next prime is 51135336125281. The reversal of 51135336125244 is 44252163353115.

51135336125244 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 5 + 3 + 3 + 612 + 5 + 24 + 4 = 666.

It is a super-2 number, since 2×51135336125244² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51135336125244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1742898727 + ... + 1742928065.

It is an arithmetic number, because the mean of its divisors is an integer number (421439760000).

Almost surely, 2^{51135336125244} is an apocalyptic number.

51135336125244 is a gapful number since it is divisible by the number (54) 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 51135336125244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80916433920000).

51135336125244 is an abundant number, since it is smaller than the sum of its proper divisors (110697531714756).

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

51135336125244 is a wasteful number, since it uses less digits than its factorization.

51135336125244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31158 (or 31150 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

Adding to 51135336125244 its reverse (44252163353115), we get a palindrome (95387499478359).

The spelling of 51135336125244 in words is "fifty-one trillion, one hundred thirty-five billion, three hundred thirty-six million, one hundred twenty-five thousand, two hundred forty-four".