51506828305 has 8 divisors (see below), whose sum is σ = 63315711144. Its totient is φ = 40200451200.

The previous prime is 51506828267. The next prime is 51506828309. The reversal of 51506828305 is 50382860515.

It can be written as a sum of positive squares in 4 ways, for example, as 135699201 + 51371129104 = 11649^2 + 226652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51506828305 - 2¹⁷ = 51506697233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51506828309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125626206 + ... + 125626615.

It is an arithmetic number, because the mean of its divisors is an integer number (7914463893).

Almost surely, 2^51506828305 is an apocalyptic number.

It is an amenable number.

51506828305 is a deficient number, since it is larger than the sum of its proper divisors (11808882839).

51506828305 is a wasteful number, since it uses less digits than its factorization.

51506828305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251252867.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 51506828305 in words is "fifty-one billion, five hundred six million, eight hundred twenty-eight thousand, three hundred five".