825753601 has 2 divisors, whose sum is σ = 825753602. Its totient is φ = 825753600.

The previous prime is 825753559. The next prime is 825753641. The reversal of 825753601 is 106357528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448422976 + 377330625 = 21176^2 + 19425^2 .

It is a cyclic number.

It is not a de Polignac number, because 825753601 - 2⁷ = 825753473 is a prime.

It is not a weakly prime, because it can be changed into another prime (825753641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412876800 + 412876801.

It is an arithmetic number, because the mean of its divisors is an integer number (412876801).

It is a Proth number, since it is equal to 1575 ⋅ 2¹⁹ + 1 and 1575 < 2¹⁹.

Almost surely, 2^825753601 is an apocalyptic number.

It is an amenable number.

825753601 is a deficient number, since it is larger than the sum of its proper divisors (1).

825753601 is an equidigital number, since it uses as much as digits as its factorization.

825753601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 825753601 is about 28735.9287478237. The cubic root of 825753601 is about 938.1742140608.

The spelling of 825753601 in words is "eight hundred twenty-five million, seven hundred fifty-three thousand, six hundred one".