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58501313 = 1326916729
BaseRepresentation
bin1101111100101…
…0100011000001
311002002011201022
43133022203001
5104434020223
65445515225
71310152523
oct337124301
9132064638
1058501313
11300279a2
1217712b15
13c173a80
147aaba13
155208ac8
hex37ca8c1

58501313 has 8 divisors (see below), whose sum is σ = 63239400. Its totient is φ = 53797248.

The previous prime is 58501307. The next prime is 58501319. The reversal of 58501313 is 31310585.

58501313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58501307) and next prime (58501319).

It can be written as a sum of positive squares in 4 ways, for example, as 9409 + 58491904 = 97^2 + 7648^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58501313 - 24 = 58501297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58501319) 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 7 ways as a sum of consecutive naturals, for example, 4868 + ... + 11861.

It is an arithmetic number, because the mean of its divisors is an integer number (7904925).

Almost surely, 258501313 is an apocalyptic number.

It is an amenable number.

58501313 is a deficient number, since it is larger than the sum of its proper divisors (4738087).

58501313 is a wasteful number, since it uses less digits than its factorization.

58501313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 58501313 is about 7648.6151034027. The cubic root of 58501313 is about 388.1997080983.

Adding to 58501313 its reverse (31310585), we get a palindrome (89811898).

The spelling of 58501313 in words is "fifty-eight million, five hundred one thousand, three hundred thirteen".

Divisors: 1 13 269 3497 16729 217477 4500101 58501313