825673753 has 2 divisors, whose sum is σ = 825673754. Its totient is φ = 825673752.

The previous prime is 825673741. The next prime is 825673817. The reversal of 825673753 is 357376528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 375769 = 28728^2 + 613^2 .

It is a cyclic number.

It is not a de Polignac number, because 825673753 - 2²¹ = 823576601 is a prime.

It is not a weakly prime, because it can be changed into another prime (825670753) 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, 412836876 + 412836877.

It is an arithmetic number, because the mean of its divisors is an integer number (412836877).

Almost surely, 2^825673753 is an apocalyptic number.

It is an amenable number.

825673753 is a deficient number, since it is larger than the sum of its proper divisors (1).

825673753 is an equidigital number, since it uses as much as digits as its factorization.

825673753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1058400, while the sum is 46.

The square root of 825673753 is about 28734.5393733743. The cubic root of 825673753 is about 938.1439735026.

It can be divided in two parts, 82567 and 3753, that added together give a triangular number (86320 = T₄₁₅).

The spelling of 825673753 in words is "eight hundred twenty-five million, six hundred seventy-three thousand, seven hundred fifty-three".