51565416 has 64 divisors (see below), whose sum is σ = 148193280. Its totient is φ = 14646720.

The previous prime is 51565391. The next prime is 51565427. The reversal of 51565416 is 61456515.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31285 + ... + 32891.

It is an arithmetic number, because the mean of its divisors is an integer number (2315520).

Almost surely, 2^51565416 is an apocalyptic number.

51565416 is a gapful number since it is divisible by the number (56) 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 51565416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74096640).

51565416 is an abundant number, since it is smaller than the sum of its proper divisors (96627864).

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

51565416 is a wasteful number, since it uses less digits than its factorization.

51565416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 51565416 is about 7180.9063494798. The cubic root of 51565416 is about 372.2084044407.

The spelling of 51565416 in words is "fifty-one million, five hundred sixty-five thousand, four hundred sixteen".