827353486645009 has 9 divisors (see below), whose sum is σ = 854904159910569. Its totient is φ = 800663801582580.

The previous prime is 827353486644917. The next prime is 827353486645051. The reversal of 827353486645009 is 900546684353728.

The square root of 827353486645009 is 28763753.

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

It is not a de Polignac number, because 827353486645009 - 2¹⁵ = 827353486612241 is a prime.

It is a super-2 number, since 2×827353486645009² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827353486645069) 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, 891212412 + ... + 892140274.

Almost surely, 2^{827353486645009} is an apocalyptic number.

827353486645009 is the 28763753-rd square number.

827353486645009 is the 14381877-th centered octagonal number.

It is an amenable number.

827353486645009 is a deficient number, since it is larger than the sum of its proper divisors (27550673265560).

827353486645009 is an frugal number, since it uses more digits than its factorization.

827353486645009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855788 (or 927894 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 70.

The spelling of 827353486645009 in words is "eight hundred twenty-seven trillion, three hundred fifty-three billion, four hundred eighty-six million, six hundred forty-five thousand, nine".