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825020125 = 536600161
BaseRepresentation
bin110001001011001…
…100111011011101
32010111102100211221
4301023030323131
53142201121000
6213511013341
726305361326
oct6113147335
92114370757
10825020125
1139377a916
121b036a251
13101c032b7
147b7dd44d
154c66a61a
hex312ccedd

825020125 has 8 divisors (see below), whose sum is σ = 1029625272. Its totient is φ = 660016000.

The previous prime is 825020123. The next prime is 825020167. The reversal of 825020125 is 521020528.

It can be written as a sum of positive squares in 4 ways, for example, as 24186724 + 800833401 = 4918^2 + 28299^2 .

It is not a de Polignac number, because 825020125 - 21 = 825020123 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825020125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825020123) 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 in 7 ways as a sum of consecutive naturals, for example, 3299956 + ... + 3300205.

It is an arithmetic number, because the mean of its divisors is an integer number (128703159).

Almost surely, 2825020125 is an apocalyptic number.

It is an amenable number.

825020125 is a deficient number, since it is larger than the sum of its proper divisors (204605147).

825020125 is an equidigital number, since it uses as much as digits as its factorization.

825020125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600176 (or 6600166 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 825020125 is about 28723.1635618363. The cubic root of 825020125 is about 937.8963538884.

The spelling of 825020125 in words is "eight hundred twenty-five million, twenty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 6600161 33000805 165004025 825020125