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825083425 = 52215315329
BaseRepresentation
bin110001001011011…
…100011000100001
32010111112120200101
4301023130120201
53142210132200
6213512222401
726306044015
oct6113343041
92114476611
10825083425
11393813431
121b039aa01
13101c2605a
147b818545
154c67e26a
hex312dc621

825083425 has 12 divisors (see below), whose sum is σ = 1023645420. Its totient is φ = 659717120.

The previous prime is 825083381. The next prime is 825083447. The reversal of 825083425 is 524380528.

It can be written as a sum of positive squares in 6 ways, for example, as 290225296 + 534858129 = 17036^2 + 23127^2 .

It is not a de Polignac number, because 825083425 - 27 = 825083297 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 46161 + ... + 61489.

It is an arithmetic number, because the mean of its divisors is an integer number (85303785).

Almost surely, 2825083425 is an apocalyptic number.

It is an amenable number.

825083425 is a deficient number, since it is larger than the sum of its proper divisors (198561995).

825083425 is a wasteful number, since it uses less digits than its factorization.

825083425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17492 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 825083425 is about 28724.2654388237. The cubic root of 825083425 is about 937.9203400996.

The spelling of 825083425 in words is "eight hundred twenty-five million, eighty-three thousand, four hundred twenty-five".

Divisors: 1 5 25 2153 10765 15329 53825 76645 383225 33003337 165016685 825083425