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520123303321025 = 5294122109385901
BaseRepresentation
bin111011001000011001010010…
…0101110111101110111000001
32112012121022011021222212010212
41312100302210232331313001
51021133200011122233100
65042113202534003505
7214361445220065455
oct16620624456756701
92465538137885125
10520123303321025
111408000661579a8
124a403469aa6595
131942b5563378c1
149262160622665
15401e902746635
hex1d90ca4bbddc1

520123303321025 has 12 divisors (see below), whose sum is σ = 645638287110204. Its totient is φ = 415656454920000.

The previous prime is 520123303321019. The next prime is 520123303321049.

520123303321025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 350378757184 + 519772924563841 = 591928^2 + 22798529^2 .

It is not a de Polignac number, because 520123303321025 - 26 = 520123303320961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 520123303320982 and 520123303321000.

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, 11054669426 + ... + 11054716475.

It is an arithmetic number, because the mean of its divisors is an integer number (53803190592517).

Almost surely, 2520123303321025 is an apocalyptic number.

It is an amenable number.

520123303321025 is a deficient number, since it is larger than the sum of its proper divisors (125514983789179).

520123303321025 is a wasteful number, since it uses less digits than its factorization.

520123303321025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22109386852 (or 22109386847 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 52012330 and 3321025, that added together give a palindrome (55333355).

The spelling of 520123303321025 in words is "five hundred twenty trillion, one hundred twenty-three billion, three hundred three million, three hundred twenty-one thousand, twenty-five".

Divisors: 1 5 25 941 4705 23525 22109385901 110546929505 552734647525 20804932132841 104024660664205 520123303321025