825226165709001 has 48 divisors (see below), whose sum is σ = 1421551684141056. Its totient is φ = 451041306696288.

The previous prime is 825226165708913. The next prime is 825226165709089. The reversal of 825226165709001 is 100907561622528.

825226165709001 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 2 + 61 + 6 + 570 + 9 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (825226165708913) and next prime (825226165709089).

It is not a de Polignac number, because 825226165709001 - 2¹¹ = 825226165706953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825226165705001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37991856 + ... + 55622238.

It is an arithmetic number, because the mean of its divisors is an integer number (29615660086272).

Almost surely, 2^{825226165709001} is an apocalyptic number.

It is an amenable number.

825226165709001 is a deficient number, since it is larger than the sum of its proper divisors (596325518432055).

825226165709001 is a wasteful number, since it uses less digits than its factorization.

825226165709001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17662722 (or 17662719 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 825226165709001 in words is "eight hundred twenty-five trillion, two hundred twenty-six billion, one hundred sixty-five million, seven hundred nine thousand, one".