51100560 has 120 divisors (see below), whose sum is σ = 196148160. Its totient is φ = 11678976.

The previous prime is 51100547. The next prime is 51100561. The reversal of 51100560 is 6500115.

51100560 is a `hidden beast` number, since 5 + 1 + 100 + 560 = 666.

51100560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51100560² = 5222534464627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51100561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30 + ... + 10109.

It is an arithmetic number, because the mean of its divisors is an integer number (1634568).

Almost surely, 2^51100560 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 51100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98074080).

51100560 is an abundant number, since it is smaller than the sum of its proper divisors (145047600).

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

51100560 is a wasteful number, since it uses less digits than its factorization.

51100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51100560 is about 7148.4655696170. The cubic root of 51100560 is about 371.0865552681.

Adding to 51100560 its reverse (6500115), we get a palindrome (57600675).

The spelling of 51100560 in words is "fifty-one million, one hundred thousand, five hundred sixty".