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825373441 is a prime number
BaseRepresentation
bin110001001100100…
…011001100000001
32010112002022111201
4301030203030001
53142243422231
6213522341201
726311362364
oct6114431401
92115068451
10825373441
113939a1312
121b04ba801
13101cc8069
147b8920db
154c6da161
hex31323301

825373441 has 2 divisors, whose sum is σ = 825373442. Its totient is φ = 825373440.

The previous prime is 825373421. The next prime is 825373463. The reversal of 825373441 is 144373528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 621455041 + 203918400 = 24929^2 + 14280^2 .

It is a cyclic number.

It is not a de Polignac number, because 825373441 - 29 = 825372929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825373441.

It is not a weakly prime, because it can be changed into another prime (825373411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412686720 + 412686721.

It is an arithmetic number, because the mean of its divisors is an integer number (412686721).

Almost surely, 2825373441 is an apocalyptic number.

It is an amenable number.

825373441 is a deficient number, since it is larger than the sum of its proper divisors (1).

825373441 is an equidigital number, since it uses as much as digits as its factorization.

825373441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 37.

The square root of 825373441 is about 28729.3132705952. The cubic root of 825373441 is about 938.0302199140.

The spelling of 825373441 in words is "eight hundred twenty-five million, three hundred seventy-three thousand, four hundred forty-one".