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523325141523325 = 52538913133876179
BaseRepresentation
bin111011011111101100010000…
…1001010011001101101111101
32112121221101122220110011121001
41312333120201022121231331
51022043124342212221300
65053004130122410301
7215141664601544131
oct16677304112315575
92477841586404531
10523325141523325
11141824a45371429
124a83bb03060991
131960146cc6122b
1493331017b93c1
154077d4b9b216a
hex1dbf621299b7d

523325141523325 has 48 divisors (see below), whose sum is σ = 673699656801600. Its totient is φ = 403045215372800.

The previous prime is 523325141523259. The next prime is 523325141523419.

523325141523325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523325141523325 - 225 = 523325107968893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489915 + ... + 32386264.

It is an arithmetic number, because the mean of its divisors is an integer number (14035409516700).

Almost surely, 2523325141523325 is an apocalyptic number.

It is an amenable number.

523325141523325 is a deficient number, since it is larger than the sum of its proper divisors (150374515278275).

523325141523325 is a wasteful number, since it uses less digits than its factorization.

523325141523325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33876462 (or 33876457 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

The spelling of 523325141523325 in words is "five hundred twenty-three trillion, three hundred twenty-five billion, one hundred forty-one million, five hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 5 25 53 89 131 265 445 655 1325 2225 3275 4717 6943 11659 23585 34715 58295 117925 173575 291475 617927 3089635 15448175 33876179 169380895 846904475 1795437487 3014979931 4437779449 8977187435 15074899655 22188897245 44885937175 75374498275 110944486225 159793936343 235202310797 394962370961 798969681715 1176011553985 1974811854805 3994848408575 5880057769925 9874059274025 20933005660933 104665028304665 523325141523325