51584585085 has 36 divisors (see below), whose sum is σ = 98280723996. Its totient is φ = 25010705280.

The previous prime is 51584585083. The next prime is 51584585093. The reversal of 51584585085 is 58058548515.

51584585085 is a `hidden beast` number, since 5 + 1 + 5 + 84 + 58 + 508 + 5 = 666.

51584585085 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 2 ways, for example, as 25373622681 + 26210962404 = 159291^2 + 161898^2 .

It is not a de Polignac number, because 51584585085 - 2¹ = 51584585083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51584585083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4731432 + ... + 4742321.

It is an arithmetic number, because the mean of its divisors is an integer number (2730020111).

Almost surely, 2^51584585085 is an apocalyptic number.

51584585085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51584585085 is a deficient number, since it is larger than the sum of its proper divisors (46696138911).

51584585085 is a wasteful number, since it uses less digits than its factorization.

51584585085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9473786 (or 9473772 counting only the distinct ones).

The product of its (nonzero) digits is 6400000, while the sum is 54.

The spelling of 51584585085 in words is "fifty-one billion, five hundred eighty-four million, five hundred eighty-five thousand, eighty-five".