820125853 has 2 divisors, whose sum is σ = 820125854. Its totient is φ = 820125852.

The previous prime is 820125841. The next prime is 820125857. The reversal of 820125853 is 358521028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 779638084 + 40487769 = 27922^2 + 6363^2 .

It is a cyclic number.

It is not a de Polignac number, because 820125853 - 2²⁹ = 283254941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820125857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410062926 + 410062927.

It is an arithmetic number, because the mean of its divisors is an integer number (410062927).

Almost surely, 2^820125853 is an apocalyptic number.

It is an amenable number.

820125853 is a deficient number, since it is larger than the sum of its proper divisors (1).

820125853 is an equidigital number, since it uses as much as digits as its factorization.

820125853 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 820125853 is about 28637.8395309423. The cubic root of 820125853 is about 936.0380448930.

The spelling of 820125853 in words is "eight hundred twenty million, one hundred twenty-five thousand, eight hundred fifty-three".