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520452383254025 = 52173197941649141
BaseRepresentation
bin111011001010110010100001…
…1011011010010011000001001
32112020202202120102221112121112
41312111211003123102120021
51021204042440103112100
65042524305115020105
7214424305143262655
oct16625450333223011
92466682512845545
10520452383254025
111409176861aa282
124a4571aa13a635
13194535aba2a151
14927405b90ba65
154028262d8bb35
hex1d959436d2609

520452383254025 has 48 divisors (see below), whose sum is σ = 653080541853168. Its totient is φ = 411415584384000.

The previous prime is 520452383253919. The next prime is 520452383254109.

It is a happy number.

520452383254025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 201055044054544 + 319397339199481 = 14179388^2 + 17871691^2 .

It is not a de Polignac number, because 520452383254025 - 210 = 520452383253001 is a prime.

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 801430955 + ... + 802080095.

It is an arithmetic number, because the mean of its divisors is an integer number (13605844621941).

Almost surely, 2520452383254025 is an apocalyptic number.

It is an amenable number.

520452383254025 is a deficient number, since it is larger than the sum of its proper divisors (132628158599143).

520452383254025 is a wasteful number, since it uses less digits than its factorization.

520452383254025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650462 (or 650457 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 50.

The spelling of 520452383254025 in words is "five hundred twenty trillion, four hundred fifty-two billion, three hundred eighty-three million, two hundred fifty-four thousand, twenty-five".

Divisors: 1 5 25 173 197 865 941 985 4325 4705 4925 23525 34081 162793 170405 185377 649141 813965 852025 926885 3245705 4069825 4634425 16228525 32070221 112301393 127880777 160351105 561506965 610841681 639403885 801755525 2807534825 3054208405 3197019425 15271042025 22123374421 105675610813 110616872105 120335811157 528378054065 553084360525 601679055785 2641890270325 3008395278925 20818095330161 104090476650805 520452383254025