825693409 has 2 divisors, whose sum is σ = 825693410. Its totient is φ = 825693408.

The previous prime is 825693397. The next prime is 825693419. The reversal of 825693409 is 904396528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587917009 + 237776400 = 24247^2 + 15420^2 .

It is a cyclic number.

It is not a de Polignac number, because 825693409 - 2⁹ = 825692897 is a prime.

It is not a weakly prime, because it can be changed into another prime (825693419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412846704 + 412846705.

It is an arithmetic number, because the mean of its divisors is an integer number (412846705).

Almost surely, 2^825693409 is an apocalyptic number.

It is an amenable number.

825693409 is a deficient number, since it is larger than the sum of its proper divisors (1).

825693409 is an equidigital number, since it uses as much as digits as its factorization.

825693409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 825693409 is about 28734.8813987460. The cubic root of 825693409 is about 938.1514179327.

The spelling of 825693409 in words is "eight hundred twenty-five million, six hundred ninety-three thousand, four hundred nine".