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58961681 is a prime number
BaseRepresentation
bin1110000011101…
…0111100010001
311002221120012222
43200322330101
5110043233211
65503430425
71314110642
oct340727421
9132846188
1058961681
1130311869
12178b5415
13c2a548c
147b8b6c9
15529a1db
hex383af11

58961681 has 2 divisors, whose sum is σ = 58961682. Its totient is φ = 58961680.

The previous prime is 58961663. The next prime is 58961689. The reversal of 58961681 is 18616985.

58961681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43033600 + 15928081 = 6560^2 + 3991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58961681 is a prime.

It is a super-2 number, since 2×589616812 = 6952959652691522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (58961689) 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 as a sum of consecutive naturals, namely, 29480840 + 29480841.

It is an arithmetic number, because the mean of its divisors is an integer number (29480841).

Almost surely, 258961681 is an apocalyptic number.

It is an amenable number.

58961681 is a deficient number, since it is larger than the sum of its proper divisors (1).

58961681 is an equidigital number, since it uses as much as digits as its factorization.

58961681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 44.

The square root of 58961681 is about 7678.6509882921. The cubic root of 58961681 is about 389.2153432616.

The spelling of 58961681 in words is "fifty-eight million, nine hundred sixty-one thousand, six hundred eighty-one".