809587852441 has 9 divisors (see below), whose sum is σ = 812240925951. Its totient is φ = 806943425472.

The previous prime is 809587852391. The next prime is 809587852459. The reversal of 809587852441 is 144258785908.

It is a happy number.

The square root of 809587852441 is 899771.

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

It can be written as a sum of positive squares in only one way, i.e., 488887632025 + 320700220416 = 699205^2 + 566304^2 .

It is a de Polignac number, because none of the positive numbers 2^k-809587852441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 809587852441.

It is not an unprimeable number, because it can be changed into a prime (809587862441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312219241 + ... + 312221833.

Almost surely, 2^809587852441 is an apocalyptic number.

809587852441 is the 899771-st square number.

809587852441 is the 449886-th centered octagonal number.

It is an amenable number.

809587852441 is a deficient number, since it is larger than the sum of its proper divisors (2653073510).

809587852441 is an frugal number, since it uses more digits than its factorization.

809587852441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 61.

The spelling of 809587852441 in words is "eight hundred nine billion, five hundred eighty-seven million, eight hundred fifty-two thousand, four hundred forty-one".