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500006825 = 52130115373
BaseRepresentation
bin11101110011010…
…111111110101001
31021211211222102022
4131303113332221
52011000204300
6121340514225
715250662563
oct3563277651
91254758368
10500006825
1123727158a
1211b54b975
137c788236
144a598333
152dd6a285
hex1dcd7fa9

500006825 has 12 divisors (see below), whose sum is σ = 620525388. Its totient is φ = 399672000.

The previous prime is 500006791. The next prime is 500006833. The reversal of 500006825 is 528600005.

It can be written as a sum of positive squares in 6 ways, for example, as 279692176 + 220314649 = 16724^2 + 14843^2 .

It is not a de Polignac number, because 500006825 - 26 = 500006761 is a prime.

It is a Duffinian number.

500006825 is a modest number, since divided by 6825 gives 500 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 500006794 and 500006803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24839 + ... + 40211.

It is an arithmetic number, because the mean of its divisors is an integer number (51710449).

Almost surely, 2500006825 is an apocalyptic number.

It is an amenable number.

500006825 is a deficient number, since it is larger than the sum of its proper divisors (120518563).

500006825 is a wasteful number, since it uses less digits than its factorization.

500006825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 500006825 is about 22360.8323861166. The cubic root of 500006825 is about 793.7041373051.

The spelling of 500006825 in words is "five hundred million, six thousand, eight hundred twenty-five".

Divisors: 1 5 25 1301 6505 15373 32525 76865 384325 20000273 100001365 500006825