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825955425 = 325271149347
BaseRepresentation
bin110001001110110…
…001010001100001
32010120011212211200
4301032301101201
53142421033200
6213543031413
726316335211
oct6116612141
92116155750
10825955425
11394259599
121b073b569
1310216cc29
147b9a4241
154c7a2800
hex313b1461

825955425 has 72 divisors (see below), whose sum is σ = 1514635200. Its totient is φ = 430147200.

The previous prime is 825955411. The next prime is 825955439. The reversal of 825955425 is 524559528.

825955425 is a `hidden beast` number, since 8 + 2 + 595 + 54 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (825955411) and next prime (825955439).

It is not a de Polignac number, because 825955425 - 211 = 825953377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 688679775 it forms an amicable pair .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2380102 + ... + 2380448.

It is an arithmetic number, because the mean of its divisors is an integer number (21036600).

Almost surely, 2825955425 is an apocalyptic number.

It is an amenable number.

825955425 is a deficient number, since it is larger than the sum of its proper divisors (688679775).

825955425 is a wasteful number, since it uses less digits than its factorization.

825955425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 825955425 is about 28739.4402346323. The cubic root of 825955425 is about 938.2506414794.

The spelling of 825955425 in words is "eight hundred twenty-five million, nine hundred fifty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 149 213 225 347 355 447 639 745 1041 1065 1341 1735 1775 2235 3123 3195 3725 5205 5325 6705 8675 10579 11175 15615 15975 24637 26025 31737 33525 51703 52895 73911 78075 95211 123185 155109 158685 221733 258515 264475 369555 465327 476055 615925 775545 793425 1108665 1292575 1847775 2326635 2380275 3670913 3877725 5543325 11012739 11633175 18354565 33038217 55063695 91772825 165191085 275318475 825955425