51316508144 has 160 divisors (see below), whose sum is σ = 115398328320. Its totient is φ = 21877574400.

The previous prime is 51316508107. The next prime is 51316508147. The reversal of 51316508144 is 44180561315.

It is a junction number, because it is equal to n+sod(n) for n = 51316508098 and 51316508107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51316508147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116893877 + ... + 116894315.

It is an arithmetic number, because the mean of its divisors is an integer number (721239552).

Almost surely, 2^51316508144 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 51316508144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57699164160).

51316508144 is an abundant number, since it is smaller than the sum of its proper divisors (64081820176).

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

51316508144 is a wasteful number, since it uses less digits than its factorization.

51316508144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 51316508144 in words is "fifty-one billion, three hundred sixteen million, five hundred eight thousand, one hundred forty-four".