51178816 has 56 divisors (see below), whose sum is σ = 110413800. Its totient is φ = 23396352.

The previous prime is 51178801. The next prime is 51178819. The reversal of 51178816 is 61887115.

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 46785600 = 2096^2 + 6840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51178819) 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 7 ways as a sum of consecutive naturals, for example, 113760 + ... + 114208.

It is an arithmetic number, because the mean of its divisors is an integer number (1971675).

Almost surely, 2^51178816 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 51178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55206900).

51178816 is an abundant number, since it is smaller than the sum of its proper divisors (59234984).

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

51178816 is a wasteful number, since it uses less digits than its factorization.

51178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 13440, while the sum is 37.

The square root of 51178816 is about 7153.9370978504. The cubic root of 51178816 is about 371.2758874276.

The spelling of 51178816 in words is "fifty-one million, one hundred seventy-eight thousand, eight hundred sixteen".