51605064 has 192 divisors, whose sum is σ = 178588800. Its totient is φ = 13105152.

The previous prime is 51605063. The next prime is 51605131. The reversal of 51605064 is 46050615.

It is a happy number.

51605064 is a `hidden beast` number, since 51 + 605 + 0 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (51605063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162634 + ... + 162950.

It is an arithmetic number, because the mean of its divisors is an integer number (930150).

Almost surely, 2^51605064 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 51605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294400).

51605064 is an abundant number, since it is smaller than the sum of its proper divisors (126983736).

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

51605064 is a wasteful number, since it uses less digits than its factorization.

51605064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51605064 is about 7183.6664733268. Note that the first 3 decimals coincide. The cubic root of 51605064 is about 372.3037754558.

Adding to 51605064 its reverse (46050615), we get a palindrome (97655679).

The spelling of 51605064 in words is "fifty-one million, six hundred five thousand, sixty-four".