827522261 has 2 divisors, whose sum is σ = 827522262. Its totient is φ = 827522260.

The previous prime is 827522167. The next prime is 827522263. The reversal of 827522261 is 162225728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760380625 + 67141636 = 27575^2 + 8194^2 .

It is a cyclic number.

It is not a de Polignac number, because 827522261 - 2¹⁸ = 827260117 is a prime.

Together with 827522263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827522263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413761130 + 413761131.

It is an arithmetic number, because the mean of its divisors is an integer number (413761131).

Almost surely, 2^827522261 is an apocalyptic number.

It is an amenable number.

827522261 is a deficient number, since it is larger than the sum of its proper divisors (1).

827522261 is an equidigital number, since it uses as much as digits as its factorization.

827522261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 827522261 is about 28766.6866531410. The cubic root of 827522261 is about 938.8435533297.

Adding to 827522261 its reverse (162225728), we get a palindrome (989747989).

The spelling of 827522261 in words is "eight hundred twenty-seven million, five hundred twenty-two thousand, two hundred sixty-one".