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1058618311649 is a prime number
BaseRepresentation
bin11110110011110101001…
…00011000001111100001
310202012110221010012010122
433121322210120033201
5114321022241433044
62130153400210025
7136324356115553
oct17317244301741
93665427105118
101058618311649
11378a59491058
12151201169915
1378a9a6b9052
14393475d34d3
151c80ca3edee
hexf67a9183e1

1058618311649 has 2 divisors, whose sum is σ = 1058618311650. Its totient is φ = 1058618311648.

The previous prime is 1058618311643. The next prime is 1058618311679. The reversal of 1058618311649 is 9461138168501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1057740256225 + 878055424 = 1028465^2 + 29632^2 .

It is an emirp because it is prime and its reverse (9461138168501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1058618311649 - 220 = 1058617263073 is a prime.

It is a super-2 number, since 2×10586183116492 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1058618311649.

It is not a weakly prime, because it can be changed into another prime (1058618311643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 529309155824 + 529309155825.

It is an arithmetic number, because the mean of its divisors is an integer number (529309155825).

Almost surely, 21058618311649 is an apocalyptic number.

It is an amenable number.

1058618311649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1058618311649 is an equidigital number, since it uses as much as digits as its factorization.

1058618311649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 1058618311649 in words is "one trillion, fifty-eight billion, six hundred eighteen million, three hundred eleven thousand, six hundred forty-nine".