821058253 has 2 divisors, whose sum is σ = 821058254. Its totient is φ = 821058252.

The previous prime is 821058247. The next prime is 821058269. The reversal of 821058253 is 352850128.

821058253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820421449 + 636804 = 28643^2 + 798^2 .

It is a cyclic number.

It is not a de Polignac number, because 821058253 - 2²⁹ = 284187341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821058233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410529126 + 410529127.

It is an arithmetic number, because the mean of its divisors is an integer number (410529127).

Almost surely, 2^821058253 is an apocalyptic number.

It is an amenable number.

821058253 is a deficient number, since it is larger than the sum of its proper divisors (1).

821058253 is an equidigital number, since it uses as much as digits as its factorization.

821058253 is an odious number, because the sum of its binary digits is odd.

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

The square root of 821058253 is about 28654.1140676169. The cubic root of 821058253 is about 936.3926373543.

The spelling of 821058253 in words is "eight hundred twenty-one million, fifty-eight thousand, two hundred fifty-three".