51305232144 has 320 divisors, whose sum is σ = 155770387200. Its totient is φ = 14438301696.

The previous prime is 51305232137. The next prime is 51305232151. The reversal of 51305232144 is 44123250315.

51305232144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51305232137) and next prime (51305232151).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23828572 + ... + 23830724.

It is an arithmetic number, because the mean of its divisors is an integer number (486782460).

Almost surely, 2^51305232144 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 51305232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77885193600).

51305232144 is an abundant number, since it is smaller than the sum of its proper divisors (104465155056).

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

51305232144 is a wasteful number, since it uses less digits than its factorization.

51305232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 51305232144 its reverse (44123250315), we get a palindrome (95428482459).

The spelling of 51305232144 in words is "fifty-one billion, three hundred five million, two hundred thirty-two thousand, one hundred forty-four".