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825060125 = 5310616221
BaseRepresentation
bin110001001011010…
…110101100011101
32010111111101201102
4301023112230131
53142203411000
6213511522445
726305616051
oct6113265435
92114441642
10825060125
113937a797a
121b0389425
13101c18576
147b80dc61
154c6773d5
hex312d6b1d

825060125 has 16 divisors (see below), whose sum is σ = 1030811184. Its totient is φ = 659320000.

The previous prime is 825060101. The next prime is 825060127. The reversal of 825060125 is 521060528.

It can be written as a sum of positive squares in 8 ways, for example, as 440076484 + 384983641 = 20978^2 + 19621^2 .

It is not a de Polignac number, because 825060125 - 210 = 825059101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825060127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129515 + ... + 135735.

It is an arithmetic number, because the mean of its divisors is an integer number (64425699).

Almost surely, 2825060125 is an apocalyptic number.

It is an amenable number.

825060125 is a deficient number, since it is larger than the sum of its proper divisors (205751059).

825060125 is a wasteful number, since it uses less digits than its factorization.

825060125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7287 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 825060125 is about 28723.8598555278. The cubic root of 825060125 is about 937.9115111945.

The spelling of 825060125 in words is "eight hundred twenty-five million, sixty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1061 5305 6221 26525 31105 132625 155525 777625 6600481 33002405 165012025 825060125