87646835201 has 2 divisors, whose sum is σ = 87646835202. Its totient is φ = 87646835200.

The previous prime is 87646835183. The next prime is 87646835203. The reversal of 87646835201 is 10253864678.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66213582400 + 21433252801 = 257320^2 + 146401^2 .

It is a cyclic number.

It is not a de Polignac number, because 87646835201 - 2²⁶ = 87579726337 is a prime.

It is a Sophie Germain prime.

Together with 87646835203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87646835201.

It is not a weakly prime, because it can be changed into another prime (87646835203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43823417600 + 43823417601.

It is an arithmetic number, because the mean of its divisors is an integer number (43823417601).

Almost surely, 2^87646835201 is an apocalyptic number.

It is an amenable number.

87646835201 is a deficient number, since it is larger than the sum of its proper divisors (1).

87646835201 is an equidigital number, since it uses as much as digits as its factorization.

87646835201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 87646835201 in words is "eighty-seven billion, six hundred forty-six million, eight hundred thirty-five thousand, two hundred one".