51609856 has 27 divisors (see below), whose sum is σ = 103248061. Its totient is φ = 25747456.

The previous prime is 51609853. The next prime is 51609881. The reversal of 51609856 is 65890615.

The square root of 51609856 is 7184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 20070400 = 5616^2 + 4480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51609853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 114720 + ... + 115168.

Almost surely, 2^51609856 is an apocalyptic number.

51609856 is the 7184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51609856

51609856 is an abundant number, since it is smaller than the sum of its proper divisors (51638205).

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

51609856 is an frugal number, since it uses more digits than its factorization.

51609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The cubic root of 51609856 is about 372.3152990307.

The spelling of 51609856 in words is "fifty-one million, six hundred nine thousand, eight hundred fifty-six".