51585735801571 has 2 divisors, whose sum is σ = 51585735801572. Its totient is φ = 51585735801570.

The previous prime is 51585735801557. The next prime is 51585735801617. The reversal of 51585735801571 is 17510853758515.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 51585735801571 - 2¹⁵ = 51585735768803 is a prime.

It is a super-2 number, since 2×51585735801571² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51585735801511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792867900785 + 25792867900786.

It is an arithmetic number, because the mean of its divisors is an integer number (25792867900786).

Almost surely, 2^{51585735801571} is an apocalyptic number.

51585735801571 is a deficient number, since it is larger than the sum of its proper divisors (1).

51585735801571 is an equidigital number, since it uses as much as digits as its factorization.

51585735801571 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400000, while the sum is 61.

The spelling of 51585735801571 in words is "fifty-one trillion, five hundred eighty-five billion, seven hundred thirty-five million, eight hundred one thousand, five hundred seventy-one".