51516064 has 48 divisors (see below), whose sum is σ = 107442720. Its totient is φ = 24272640.

The previous prime is 51516043. The next prime is 51516071. The reversal of 51516064 is 46061515.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39259 + ... + 40549.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 2^51516064 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 51516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53721360).

51516064 is an abundant number, since it is smaller than the sum of its proper divisors (55926656).

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

51516064 is a wasteful number, since it uses less digits than its factorization.

51516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 51516064 is about 7177.4691918531. The cubic root of 51516064 is about 372.0896226811.

Adding to 51516064 its reverse (46061515), we get a palindrome (97577579).

The spelling of 51516064 in words is "fifty-one million, five hundred sixteen thousand, sixty-four".