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52505322305 = 53725724297
BaseRepresentation
bin110000111001100011…
…111010001101000001
312000112012000201201212
4300321203322031001
51330012330303210
640042015135505
73536062606262
oct607143721501
9160465021655
1052505322305
11202a3981857
12a213b14595
134c49b13867
142781368969
1515747c2805
hexc398fa341

52505322305 has 24 divisors (see below), whose sum is σ = 64977146808. Its totient is φ = 40700510208.

The previous prime is 52505322283. The next prime is 52505322319. The reversal of 52505322305 is 50322350525.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9619882561 + 42885439744 = 98081^2 + 207088^2 .

It is not a de Polignac number, because 52505322305 - 28 = 52505322049 is a prime.

It is a super-3 number, since 3×525053223053 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12216917 + ... + 12221213.

It is an arithmetic number, because the mean of its divisors is an integer number (2707381117).

Almost surely, 252505322305 is an apocalyptic number.

It is an amenable number.

52505322305 is a deficient number, since it is larger than the sum of its proper divisors (12471824503).

52505322305 is an equidigital number, since it uses as much as digits as its factorization.

52505322305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 32.

The spelling of 52505322305 in words is "fifty-two billion, five hundred five million, three hundred twenty-two thousand, three hundred five".

Divisors: 1 5 37 185 257 1285 4297 9509 21485 47545 66049 158989 330245 794945 1104329 2443813 5521645 12219065 40860173 204300865 283812553 1419062765 10501064461 52505322305