51304410432 has 1008 divisors, whose sum is σ = 187822514880. Its totient is φ = 13284311040.

The previous prime is 51304410431. The next prime is 51304410457. The reversal of 51304410432 is 23401440315.

It is a happy number.

51304410432 is a `hidden beast` number, since 513 + 0 + 44 + 104 + 3 + 2 = 666.

It is a super-2 number, since 2×51304410432² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51304410396 and 51304410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51304410431) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 968007718 + ... + 968007770.

It is an arithmetic number, because the mean of its divisors is an integer number (186331860).

Almost surely, 2^51304410432 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 51304410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93911257440).

51304410432 is an abundant number, since it is smaller than the sum of its proper divisors (136518104448).

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

51304410432 is a wasteful number, since it uses less digits than its factorization.

51304410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 51304410432 its reverse (23401440315), we get a palindrome (74705850747).

The spelling of 51304410432 in words is "fifty-one billion, three hundred four million, four hundred ten thousand, four hundred thirty-two".