825252409 has 2 divisors, whose sum is σ = 825252410. Its totient is φ = 825252408.

The previous prime is 825252401. The next prime is 825252427. The reversal of 825252409 is 904252528.

825252409 is nontrivially palindromic in base 11.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 744198400 + 81054009 = 27280^2 + 9003^2 .

It is a cyclic number.

It is not a de Polignac number, because 825252409 - 2³ = 825252401 is a prime.

It is not a weakly prime, because it can be changed into another prime (825252401) 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, 412626204 + 412626205.

It is an arithmetic number, because the mean of its divisors is an integer number (412626205).

Almost surely, 2^825252409 is an apocalyptic number.

It is an amenable number.

825252409 is a deficient number, since it is larger than the sum of its proper divisors (1).

825252409 is an equidigital number, since it uses as much as digits as its factorization.

825252409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 825252409 is about 28727.2067733708. The cubic root of 825252409 is about 937.9843670440.

The spelling of 825252409 in words is "eight hundred twenty-five million, two hundred fifty-two thousand, four hundred nine".