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58538643253 is a prime number
BaseRepresentation
bin110110100001001011…
…001100111100110101
312121002122210012011021
4312201023030330311
51424341343041003
642520422141141
74141433154256
oct664113147465
9177078705137
1058538643253
112290a5a1112
12b4185817b1
13569ba7805c
142b9476cb2d
1517c92dd2bd
hexda12ccf35

58538643253 has 2 divisors, whose sum is σ = 58538643254. Its totient is φ = 58538643252.

The previous prime is 58538643239. The next prime is 58538643277. The reversal of 58538643253 is 35234683585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43354735524 + 15183907729 = 208218^2 + 123223^2 .

It is a cyclic number.

It is not a de Polignac number, because 58538643253 - 25 = 58538643221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58538643253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58538643853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29269321626 + 29269321627.

It is an arithmetic number, because the mean of its divisors is an integer number (29269321627).

Almost surely, 258538643253 is an apocalyptic number.

It is an amenable number.

58538643253 is a deficient number, since it is larger than the sum of its proper divisors (1).

58538643253 is an equidigital number, since it uses as much as digits as its factorization.

58538643253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368000, while the sum is 52.

The spelling of 58538643253 in words is "fifty-eight billion, five hundred thirty-eight million, six hundred forty-three thousand, two hundred fifty-three".