825463901729 has 2 divisors, whose sum is σ = 825463901730. Its totient is φ = 825463901728.

The previous prime is 825463901701. The next prime is 825463901749. The reversal of 825463901729 is 927109364528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820546105600 + 4917796129 = 905840^2 + 70127^2 .

It is a cyclic number.

It is not a de Polignac number, because 825463901729 - 2⁸ = 825463901473 is a prime.

It is not a weakly prime, because it can be changed into another prime (825463901749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412731950864 + 412731950865.

It is an arithmetic number, because the mean of its divisors is an integer number (412731950865).

It is a 3-persistent number, because k⋅825463901729 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^825463901729 is an apocalyptic number.

It is an amenable number.

825463901729 is a deficient number, since it is larger than the sum of its proper divisors (1).

825463901729 is an equidigital number, since it uses as much as digits as its factorization.

825463901729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 825463901729 in words is "eight hundred twenty-five billion, four hundred sixty-three million, nine hundred one thousand, seven hundred twenty-nine".