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52033233025 = 5210161333617
BaseRepresentation
bin110000011101011011…
…000010000010000001
311222022021201002222201
4300131123002002001
51323031001424100
635523112433201
73521301116554
oct603533020201
9158267632881
1052033233025
1120081449124
12a1019a8801
134ba30817a7
14273879a69b
15154811e36a
hexc1d6c2081

52033233025 has 24 divisors (see below), whose sum is σ = 65268271224. Its totient is φ = 41145984000.

The previous prime is 52033233023. The next prime is 52033233029.

52033233025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 27614795329 + 24418437696 = 166177^2 + 156264^2 .

It is not a de Polignac number, because 52033233025 - 21 = 52033233023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52033232984 and 52033233002.

It is not an unprimeable number, because it can be changed into a prime (52033233023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531017 + ... + 1564633.

It is an arithmetic number, because the mean of its divisors is an integer number (2719511301).

Almost surely, 252033233025 is an apocalyptic number.

It is an amenable number.

52033233025 is a deficient number, since it is larger than the sum of its proper divisors (13235038199).

52033233025 is a wasteful number, since it uses less digits than its factorization.

52033233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34341 (or 34336 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 28.

The spelling of 52033233025 in words is "fifty-two billion, thirty-three million, two hundred thirty-three thousand, twenty-five".

Divisors: 1 5 25 101 505 613 2525 3065 15325 33617 61913 168085 309565 840425 1547825 3395317 16976585 20607221 84882925 103036105 515180525 2081329321 10406646605 52033233025