51566112 has 96 divisors (see below), whose sum is σ = 162005760. Its totient is φ = 15863040.

The previous prime is 51566111. The next prime is 51566149. The reversal of 51566112 is 21166515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51566111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8937 + ... + 13527.

It is an arithmetic number, because the mean of its divisors is an integer number (1687560).

Almost surely, 2^51566112 is an apocalyptic number.

51566112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81002880).

51566112 is an abundant number, since it is smaller than the sum of its proper divisors (110439648).

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

51566112 is a wasteful number, since it uses less digits than its factorization.

51566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4609 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 51566112 is about 7180.9548111654. The cubic root of 51566112 is about 372.2100790507.

The spelling of 51566112 in words is "fifty-one million, five hundred sixty-six thousand, one hundred twelve".