51713640 has 160 divisors (see below), whose sum is σ = 189747360. Its totient is φ = 12528000.

The previous prime is 51713639. The next prime is 51713647. The reversal of 51713640 is 4631715.

51713640 is a `hidden beast` number, since 5 + 1 + 7 + 13 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51713647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34915 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (1185921).

Almost surely, 2^51713640 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 51713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94873680).

51713640 is an abundant number, since it is smaller than the sum of its proper divisors (138033720).

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

51713640 is a wasteful number, since it uses less digits than its factorization.

51713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51713640 is about 7191.2196462074. The cubic root of 51713640 is about 372.5646990602.

The spelling of 51713640 in words is "fifty-one million, seven hundred thirteen thousand, six hundred forty".