85375580481 has 9 divisors (see below), whose sum is σ = 123321549091. Its totient is φ = 56916469272.

The previous prime is 85375580467. The next prime is 85375580513. The reversal of 85375580481 is 18408557358.

The square root of 85375580481 is 292191.

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

85375580481 is a `hidden beast` number, since 8 + 5 + 3 + 7 + 558 + 0 + 4 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83021778225 + 2353802256 = 288135^2 + 48516^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85375580481 - 2⁵ = 85375580449 is a prime.

It is a super-2 number, since 2×85375580481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85375580401) 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 8 ways as a sum of consecutive naturals, for example, 827875 + ... + 925271.

Almost surely, 2^85375580481 is an apocalyptic number.

85375580481 is the 292191-st square number.

85375580481 is the 146096-th centered octagonal number.

It is an amenable number.

85375580481 is a deficient number, since it is larger than the sum of its proper divisors (37945968610).

85375580481 is an frugal number, since it uses more digits than its factorization.

85375580481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194800 (or 97400 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

It can be divided in two parts, 85375 and 580481, that added together give a square (665856 = 816²).

The spelling of 85375580481 in words is "eighty-five billion, three hundred seventy-five million, five hundred eighty thousand, four hundred eighty-one".