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1085316593 is a prime number
BaseRepresentation
bin100000010110000…
…1001110111110001
32210122012210110212
41000230021313301
54210320112333
6255410033505
735616016214
oct10054116761
92718183425
101085316593
115076a6469
12263578895
13143b0c48a
14a41d977b
1565435448
hex40b09df1

1085316593 has 2 divisors, whose sum is σ = 1085316594. Its totient is φ = 1085316592.

The previous prime is 1085316569. The next prime is 1085316611. The reversal of 1085316593 is 3956135801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997106929 + 88209664 = 31577^2 + 9392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1085316593 is a prime.

It is a super-2 number, since 2×10853165932 = 2355824214082255298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1085316593.

It is not a weakly prime, because it can be changed into another prime (1085316553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542658296 + 542658297.

It is an arithmetic number, because the mean of its divisors is an integer number (542658297).

Almost surely, 21085316593 is an apocalyptic number.

It is an amenable number.

1085316593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085316593 is an equidigital number, since it uses as much as digits as its factorization.

1085316593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 41.

The square root of 1085316593 is about 32944.1435311346. The cubic root of 1085316593 is about 1027.6663770379. Note that the first 3 decimals are identical.

The spelling of 1085316593 in words is "one billion, eighty-five million, three hundred sixteen thousand, five hundred ninety-three".