71800825001 has 4 divisors (see below), whose sum is σ = 71810602500. Its totient is φ = 71791047504.

The previous prime is 71800824971. The next prime is 71800825007. The reversal of 71800825001 is 10052800817.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10052800817 = 3001 ⋅3349817.

It can be written as a sum of positive squares in 2 ways, for example, as 37055865001 + 34744960000 = 192499^2 + 186400^2 .

It is a cyclic number.

It is not a de Polignac number, because 71800825001 - 2⁶ = 71800824937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71800825007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4877726 + ... + 4892423.

It is an arithmetic number, because the mean of its divisors is an integer number (17952650625).

Almost surely, 2^71800825001 is an apocalyptic number.

It is an amenable number.

71800825001 is a deficient number, since it is larger than the sum of its proper divisors (9777499).

71800825001 is an equidigital number, since it uses as much as digits as its factorization.

71800825001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777498.

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 71800825001 in words is "seventy-one billion, eight hundred million, eight hundred twenty-five thousand, one".