815266332241 has 9 divisors (see below), whose sum is σ = 866060472081. Its totient is φ = 767295042432.

The previous prime is 815266332229. The next prime is 815266332247. The reversal of 815266332241 is 142233662518.

The square root of 815266332241 is 902921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69944909841 + 745321422400 = 264471^2 + 863320^2 .

It is not a de Polignac number, because 815266332241 - 2³⁹ = 265510518353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (815266332247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15323101 + ... + 15376213.

Almost surely, 2^815266332241 is an apocalyptic number.

815266332241 is the 902921-st square number.

815266332241 is the 451461-st centered octagonal number.

It is an amenable number.

815266332241 is a deficient number, since it is larger than the sum of its proper divisors (50794139840).

815266332241 is an frugal number, since it uses more digits than its factorization.

815266332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106260 (or 53130 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

Adding to 815266332241 its reverse (142233662518), we get a palindrome (957499994759).

It can be divided in two parts, 8 and 15266332241, that added together give a square (15266332249 = 123557²).

The spelling of 815266332241 in words is "eight hundred fifteen billion, two hundred sixty-six million, three hundred thirty-two thousand, two hundred forty-one".