852523201 has 2 divisors, whose sum is σ = 852523202. Its totient is φ = 852523200.

The previous prime is 852523181. The next prime is 852523211. The reversal of 852523201 is 102325258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 775065600 + 77457601 = 27840^2 + 8801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852523201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 852523201.

It is not a weakly prime, because it can be changed into another prime (852523211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426261600 + 426261601.

It is an arithmetic number, because the mean of its divisors is an integer number (426261601).

Almost surely, 2^852523201 is an apocalyptic number.

It is an amenable number.

852523201 is a deficient number, since it is larger than the sum of its proper divisors (1).

852523201 is an equidigital number, since it uses as much as digits as its factorization.

852523201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 852523201 is about 29197.9999486266. Note that the first 4 decimals coincide. The cubic root of 852523201 is about 948.2046242552.

Adding to 852523201 its reverse (102325258), we get a palindrome (954848459).

The spelling of 852523201 in words is "eight hundred fifty-two million, five hundred twenty-three thousand, two hundred one".