820526149 has 2 divisors, whose sum is σ = 820526150. Its totient is φ = 820526148.

The previous prime is 820526143. The next prime is 820526207. The reversal of 820526149 is 941625028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670292100 + 150234049 = 25890^2 + 12257^2 .

It is a cyclic number.

It is not a de Polignac number, because 820526149 - 2⁹ = 820525637 is a prime.

It is a super-2 number, since 2×820526149² = 1346526322385540402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820526143) 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, 410263074 + 410263075.

It is an arithmetic number, because the mean of its divisors is an integer number (410263075).

Almost surely, 2^820526149 is an apocalyptic number.

It is an amenable number.

820526149 is a deficient number, since it is larger than the sum of its proper divisors (1).

820526149 is an equidigital number, since it uses as much as digits as its factorization.

820526149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 820526149 is about 28644.8276133755. The cubic root of 820526149 is about 936.1903106861.

The spelling of 820526149 in words is "eight hundred twenty million, five hundred twenty-six thousand, one hundred forty-nine".