822131521 has 2 divisors, whose sum is σ = 822131522. Its totient is φ = 822131520.

The previous prime is 822131483. The next prime is 822131533. The reversal of 822131521 is 125131228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524913921 + 297217600 = 22911^2 + 17240^2 .

It is a cyclic number.

It is not a de Polignac number, because 822131521 - 2¹⁹ = 821607233 is a prime.

It is not a weakly prime, because it can be changed into another prime (822131581) 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, 411065760 + 411065761.

It is an arithmetic number, because the mean of its divisors is an integer number (411065761).

Almost surely, 2^822131521 is an apocalyptic number.

It is an amenable number.

822131521 is a deficient number, since it is larger than the sum of its proper divisors (1).

822131521 is an equidigital number, since it uses as much as digits as its factorization.

822131521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 25.

The square root of 822131521 is about 28672.8359427525. The cubic root of 822131521 is about 936.8004698327.

Adding to 822131521 its reverse (125131228), we get a palindrome (947262749).

The spelling of 822131521 in words is "eight hundred twenty-two million, one hundred thirty-one thousand, five hundred twenty-one".