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58503101 is a prime number
BaseRepresentation
bin1101111100101…
…0111110111101
311002002021011112
43133022332331
5104434044401
65445531405
71310160656
oct337127675
9132067145
1058503101
1130029278
1217713b65
13c174827
147aac52d
1552093bb
hex37cafbd

58503101 has 2 divisors, whose sum is σ = 58503102. Its totient is φ = 58503100.

The previous prime is 58503061. The next prime is 58503119. The reversal of 58503101 is 10130585.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53436100 + 5067001 = 7310^2 + 2251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58503101 is a prime.

It is a super-2 number, since 2×585031012 = 6845225653232402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58563101) 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, 29251550 + 29251551.

It is an arithmetic number, because the mean of its divisors is an integer number (29251551).

Almost surely, 258503101 is an apocalyptic number.

It is an amenable number.

58503101 is a deficient number, since it is larger than the sum of its proper divisors (1).

58503101 is an equidigital number, since it uses as much as digits as its factorization.

58503101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 58503101 is about 7648.7319864145. The cubic root of 58503101 is about 388.2036629611.

Adding to 58503101 its reverse (10130585), we get a palindrome (68633686).

The spelling of 58503101 in words is "fifty-eight million, five hundred three thousand, one hundred one".