51565760 has 56 divisors (see below), whose sum is σ = 130027680. Its totient is φ = 19410944.

The previous prime is 51565757. The next prime is 51565763. The reversal of 51565760 is 6756515.

It is an interprime number because it is at equal distance from previous prime (51565757) and next prime (51565763).

It is a self number, because there is not a number n which added to its sum of digits gives 51565760.

It is not an unprimeable number, because it can be changed into a prime (51565763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701 + ... + 10179.

Almost surely, 2^51565760 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 51565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65013840).

51565760 is an abundant number, since it is smaller than the sum of its proper divisors (78461920).

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

51565760 is a wasteful number, since it uses less digits than its factorization.

51565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 51565760 is about 7180.9303018481. The cubic root of 51565760 is about 372.2092321234.

It can be divided in two parts, 51565 and 760, that added together give a palindrome (52325).

The spelling of 51565760 in words is "fifty-one million, five hundred sixty-five thousand, seven hundred sixty".