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252048253 is a prime number
BaseRepresentation
bin11110000010111…
…11001101111101
3122120021101012111
433001133031331
51004011021003
641002134021
76150242362
oct1701371575
9576241174
10252048253
1111a302646
12704b1311
13402abaa2
1425690469
15171dae6d
hexf05f37d

252048253 has 2 divisors, whose sum is σ = 252048254. Its totient is φ = 252048252.

The previous prime is 252048233. The next prime is 252048299. The reversal of 252048253 is 352840252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146821689 + 105226564 = 12117^2 + 10258^2 .

It is a cyclic number.

It is not a de Polignac number, because 252048253 - 221 = 249951101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252048233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126024126 + 126024127.

It is an arithmetic number, because the mean of its divisors is an integer number (126024127).

Almost surely, 2252048253 is an apocalyptic number.

It is an amenable number.

252048253 is a deficient number, since it is larger than the sum of its proper divisors (1).

252048253 is an equidigital number, since it uses as much as digits as its factorization.

252048253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 252048253 is about 15876.0276202834. The cubic root of 252048253 is about 631.6762724440.

The spelling of 252048253 in words is "two hundred fifty-two million, forty-eight thousand, two hundred fifty-three".