828555257 has 2 divisors, whose sum is σ = 828555258. Its totient is φ = 828555256.

The previous prime is 828555241. The next prime is 828555269. The reversal of 828555257 is 752555828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 794168761 + 34386496 = 28181^2 + 5864^2 .

It is a cyclic number.

It is not a de Polignac number, because 828555257 - 2⁴ = 828555241 is a prime.

It is not a weakly prime, because it can be changed into another prime (828555227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414277628 + 414277629.

It is an arithmetic number, because the mean of its divisors is an integer number (414277629).

Almost surely, 2^828555257 is an apocalyptic number.

It is an amenable number.

828555257 is a deficient number, since it is larger than the sum of its proper divisors (1).

828555257 is an equidigital number, since it uses as much as digits as its factorization.

828555257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120000, while the sum is 47.

The square root of 828555257 is about 28784.6357802214. The cubic root of 828555257 is about 939.2340436797.

The spelling of 828555257 in words is "eight hundred twenty-eight million, five hundred fifty-five thousand, two hundred fifty-seven".