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330325172324225 = 52133173206262289
BaseRepresentation
bin100101100011011011101001…
…0100011101000011110000001
31121022120210000012201221021222
41023012313102203220132001
5321244021423103333400
63130313142250524425
7126402130464262211
oct11306672243503601
91538523005657258
10330325172324225
1196285134243611
123106b293a36715
13112416b77c3370
145b7db76128241
15282c7b0ba8185
hex12c6dd28e8781

330325172324225 has 24 divisors (see below), whose sum is σ = 442502671167480. Its totient is φ = 243162931921920.

The previous prime is 330325172324209. The next prime is 330325172324297. The reversal of 330325172324225 is 522423271523033.

It can be written as a sum of positive squares in 12 ways, for example, as 173533804207729 + 156791368116496 = 13173223^2 + 12521636^2 .

It is not a de Polignac number, because 330325172324225 - 24 = 330325172324209 is a prime.

It is a super-2 number, since 2×3303251723242252 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603028120 + ... + 1603234169.

It is an arithmetic number, because the mean of its divisors is an integer number (18437611298645).

Almost surely, 2330325172324225 is an apocalyptic number.

It is an amenable number.

330325172324225 is a deficient number, since it is larger than the sum of its proper divisors (112177498843255).

330325172324225 is a wasteful number, since it uses less digits than its factorization.

330325172324225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206262629 (or 3206262624 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 44.

The spelling of 330325172324225 in words is "three hundred thirty trillion, three hundred twenty-five billion, one hundred seventy-two million, three hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 317 325 1585 4121 7925 20605 103025 3206262289 16031311445 41681409757 80156557225 208407048785 1016385145613 1042035243925 5081925728065 13213006892969 25409628640325 66065034464845 330325172324225