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1085437013 is a prime number
BaseRepresentation
bin100000010110010…
…0111010001010101
32210122102220122212
41000230213101111
54210332441023
6255412403205
735620030253
oct10054472125
92718386585
101085437013
11507778991
12263616505
13143b5222b
14a422b5d3
156545ae78
hex40b27455

1085437013 has 2 divisors, whose sum is σ = 1085437014. Its totient is φ = 1085437012.

The previous prime is 1085436971. The next prime is 1085437019. The reversal of 1085437013 is 3107345801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 871312324 + 214124689 = 29518^2 + 14633^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085437013 - 26 = 1085436949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1085437019) 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, 542718506 + 542718507.

It is an arithmetic number, because the mean of its divisors is an integer number (542718507).

Almost surely, 21085437013 is an apocalyptic number.

It is an amenable number.

1085437013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085437013 is an equidigital number, since it uses as much as digits as its factorization.

1085437013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1085437013 is about 32945.9711193949. The cubic root of 1085437013 is about 1027.7043834621.

The spelling of 1085437013 in words is "one billion, eighty-five million, four hundred thirty-seven thousand, thirteen".