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10509508549 is a prime number
BaseRepresentation
bin10011100100110101…
…00101111111000101
31000010102111100110101
421302122211333011
5133010413233144
64454503124101
7521302230421
oct116232457705
930112440411
1010509508549
114503386361
122053743631
13cb6421517
14719ab1b81
154179a36d4
hex2726a5fc5

10509508549 has 2 divisors, whose sum is σ = 10509508550. Its totient is φ = 10509508548.

The previous prime is 10509508531. The next prime is 10509508561. The reversal of 10509508549 is 94580590501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9824377924 + 685130625 = 99118^2 + 26175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509508549 - 225 = 10475954117 is a prime.

It is a super-2 number, since 2×105095085492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509508499 and 10509508508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10509508049) 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, 5254754274 + 5254754275.

It is an arithmetic number, because the mean of its divisors is an integer number (5254754275).

Almost surely, 210509508549 is an apocalyptic number.

It is an amenable number.

10509508549 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509508549 is an equidigital number, since it uses as much as digits as its factorization.

10509508549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 10509508549 in words is "ten billion, five hundred nine million, five hundred eight thousand, five hundred forty-nine".