51566580 has 72 divisors (see below), whose sum is σ = 168458472. Its totient is φ = 12692736.

The previous prime is 51566579. The next prime is 51566587. The reversal of 51566580 is 8566515.

51566580 is a `hidden beast` number, since 5 + 15 + 66 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 51065316 = 708^2 + 7146^2 .

It is a super-2 number, since 2×51566580² = 5318224345792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51566587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8679 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (2339701).

Almost surely, 2^51566580 is an apocalyptic number.

It is an amenable number.

51566580 is an abundant number, since it is smaller than the sum of its proper divisors (116891892).

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

51566580 is a wasteful number, since it uses less digits than its factorization.

51566580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 51566580 is about 7180.9873972874. The cubic root of 51566580 is about 372.2112050731.

The spelling of 51566580 in words is "fifty-one million, five hundred sixty-six thousand, five hundred eighty".