815085441 has 6 divisors (see below), whose sum is σ = 1177345650. Its totient is φ = 543390288.

The previous prime is 815085437. The next prime is 815085457. The reversal of 815085441 is 144580518.

It can be written as a sum of positive squares in only one way, i.e., 789834816 + 25250625 = 28104^2 + 5025^2 .

It is not a de Polignac number, because 815085441 - 2² = 815085437 is a prime.

It is a super-2 number, since 2×815085441² = 1328728552260328962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 815085396 and 815085405.

It is not an unprimeable number, because it can be changed into a prime (815085241) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 45282516 + ... + 45282533.

It is an arithmetic number, because the mean of its divisors is an integer number (196224275).

Almost surely, 2^815085441 is an apocalyptic number.

It is an amenable number.

815085441 is a deficient number, since it is larger than the sum of its proper divisors (362260209).

815085441 is a wasteful number, since it uses less digits than its factorization.

815085441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90565055 (or 90565052 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 815085441 is about 28549.7012418694. The cubic root of 815085441 is about 934.1165040291.

The spelling of 815085441 in words is "eight hundred fifteen million, eighty-five thousand, four hundred forty-one".