51038585 has 16 divisors (see below), whose sum is σ = 66192336. Its totient is φ = 37555968.

The previous prime is 51038567. The next prime is 51038593. The reversal of 51038585 is 58583015.

51038585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13424896 + 37613689 = 3664^2 + 6133^2 .

It is a cyclic number.

It is not a de Polignac number, because 51038585 - 2⁸ = 51038329 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19367 + ... + 21843.

It is an arithmetic number, because the mean of its divisors is an integer number (4137021).

Almost surely, 2^51038585 is an apocalyptic number.

It is an amenable number.

51038585 is a deficient number, since it is larger than the sum of its proper divisors (15153751).

51038585 is a wasteful number, since it uses less digits than its factorization.

51038585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 51038585 is about 7144.1294081224. The cubic root of 51038585 is about 370.9364760718.

The spelling of 51038585 in words is "fifty-one million, thirty-eight thousand, five hundred eighty-five".