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253025253 = 321312171777
BaseRepresentation
bin11110001010011…
…01101111100101
3122122010000101200
433011031233211
51004233302003
641035113113
76161451645
oct1705155745
9578100350
10253025253
1111a90a688
12708a2799
13405616b0
1425866525
15173306a3
hexf14dbe5

253025253 has 24 divisors (see below), whose sum is σ = 394139928. Its totient is φ = 155492352.

The previous prime is 253025221. The next prime is 253025257. The reversal of 253025253 is 352520352.

It can be written as a sum of positive squares in 4 ways, for example, as 3448449 + 249576804 = 1857^2 + 15798^2 .

It is not a de Polignac number, because 253025253 - 25 = 253025221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253025257) by changing a digit.

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, 141501 + ... + 143277.

It is an arithmetic number, because the mean of its divisors is an integer number (16422497).

Almost surely, 2253025253 is an apocalyptic number.

It is an amenable number.

253025253 is a deficient number, since it is larger than the sum of its proper divisors (141114675).

253025253 is a wasteful number, since it uses less digits than its factorization.

253025253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 253025253 is about 15906.7675220329. The cubic root of 253025253 is about 632.4913968220.

The spelling of 253025253 in words is "two hundred fifty-three million, twenty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 117 1217 1777 3651 5331 10953 15821 15993 23101 47463 69303 142389 207909 2162609 6487827 19463481 28113917 84341751 253025253