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825134375 = 5513191069
BaseRepresentation
bin110001001011101…
…000110100100111
32010111122011120102
4301023220310213
53142213300000
6213513254315
726306345402
oct6113506447
92114564512
10825134375
1139384873a
121b040439b
13101c432c0
147b82cd39
154c68e3d5
hex312e8d27

825134375 has 48 divisors (see below), whose sum is σ = 1170237600. Its totient is φ = 576720000.

The previous prime is 825134371. The next prime is 825134377. The reversal of 825134375 is 573431528.

825134375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825134375 - 22 = 825134371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825134371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771341 + ... + 772409.

It is an arithmetic number, because the mean of its divisors is an integer number (24379950).

Almost surely, 2825134375 is an apocalyptic number.

825134375 is a deficient number, since it is larger than the sum of its proper divisors (345103225).

825134375 is a wasteful number, since it uses less digits than its factorization.

825134375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 825134375 is about 28725.1523059496. The cubic root of 825134375 is about 937.9396456454.

The spelling of 825134375 in words is "eight hundred twenty-five million, one hundred thirty-four thousand, three hundred seventy-five".

Divisors: 1 5 13 19 25 65 95 125 247 325 475 625 1069 1235 1625 2375 3125 5345 6175 8125 11875 13897 20311 26725 30875 40625 59375 69485 101555 133625 154375 264043 347425 507775 668125 771875 1320215 1737125 2538875 3340625 6601075 8685625 12694375 33005375 43428125 63471875 165026875 825134375