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825299001 = 32106985781
BaseRepresentation
bin110001001100010…
…001000000111001
32010111221112101200
4301030101000321
53142234032001
6213521004413
726310632352
oct6114210071
92114845350
10825299001
1139395039a
121b0483709
13101ca0207
147b872d29
154c6c3086
hex31311039

825299001 has 12 divisors (see below), whose sum is σ = 1193227620. Its totient is φ = 549678240.

The previous prime is 825298979. The next prime is 825299009. The reversal of 825299001 is 100992528.

It can be written as a sum of positive squares in 2 ways, for example, as 600299001 + 225000000 = 24501^2 + 15000^2 .

It is not a de Polignac number, because 825299001 - 227 = 691081273 is a prime.

It is a super-2 number, since 2×8252990012 = 1362236882103196002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825299009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33270 + ... + 52511.

It is an arithmetic number, because the mean of its divisors is an integer number (99435635).

Almost surely, 2825299001 is an apocalyptic number.

It is an amenable number.

825299001 is a deficient number, since it is larger than the sum of its proper divisors (367928619).

825299001 is a wasteful number, since it uses less digits than its factorization.

825299001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86856 (or 86853 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 825299001 is about 28728.0177004958. The cubic root of 825299001 is about 938.0020189142.

The spelling of 825299001 in words is "eight hundred twenty-five million, two hundred ninety-nine thousand, one".

Divisors: 1 3 9 1069 3207 9621 85781 257343 772029 91699889 275099667 825299001