827833510201 has 2 divisors, whose sum is σ = 827833510202. Its totient is φ = 827833510200.

The previous prime is 827833510181. The next prime is 827833510223. The reversal of 827833510201 is 102015338728.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 760584573225 + 67248936976 = 872115^2 + 259324^2 .

It is a cyclic number.

It is not a de Polignac number, because 827833510201 - 2⁵ = 827833510169 is a prime.

It is a super-2 number, since 2×827833510201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (827833510271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413916755100 + 413916755101.

It is an arithmetic number, because the mean of its divisors is an integer number (413916755101).

Almost surely, 2^827833510201 is an apocalyptic number.

It is an amenable number.

827833510201 is a deficient number, since it is larger than the sum of its proper divisors (1).

827833510201 is an equidigital number, since it uses as much as digits as its factorization.

827833510201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

Adding to 827833510201 its reverse (102015338728), we get a palindrome (929848848929).

The spelling of 827833510201 in words is "eight hundred twenty-seven billion, eight hundred thirty-three million, five hundred ten thousand, two hundred one".