809238528001 has 8 divisors (see below), whose sum is σ = 856851907464. Its totient is φ = 761626383360.

The previous prime is 809238527969. The next prime is 809238528023. The reversal of 809238528001 is 100825832908.

It can be written as a sum of positive squares in 4 ways, for example, as 3669451776 + 805569076225 = 60576^2 + 897535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 809238528001 - 2⁵ = 809238527969 is a prime.

It is a super-2 number, since 2×809238528001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809238528701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1271781 + ... + 1798861.

It is an arithmetic number, because the mean of its divisors is an integer number (107106488433).

It is a Proth number, since it is equal to 385875 ⋅ 2²¹ + 1 and 385875 < 2²¹.

Almost surely, 2^809238528001 is an apocalyptic number.

It is an amenable number.

809238528001 is a deficient number, since it is larger than the sum of its proper divisors (47613379463).

809238528001 is a wasteful number, since it uses less digits than its factorization.

809238528001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617411.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 809238528001 in words is "eight hundred nine billion, two hundred thirty-eight million, five hundred twenty-eight thousand, one".