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537041384081 is a prime number
BaseRepresentation
bin1111101000010100010…
…10010011001010010001
31220100012100002222200122
413310022022103022101
532244330043242311
61050414032400025
753541246305636
oct7641212231221
91810170088618
10537041384081
11197837951614
12880ba0a6015
133b848278617
141bdc88bc18d
15de829ed0db
hex7d0a293291

537041384081 has 2 divisors, whose sum is σ = 537041384082. Its totient is φ = 537041384080.

The previous prime is 537041384017. The next prime is 537041384107. The reversal of 537041384081 is 180483140735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531149440000 + 5891944081 = 728800^2 + 76759^2 .

It is a cyclic number.

It is not a de Polignac number, because 537041384081 - 26 = 537041384017 is a prime.

It is a super-2 number, since 2×5370413840812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (537041384881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268520692040 + 268520692041.

It is an arithmetic number, because the mean of its divisors is an integer number (268520692041).

Almost surely, 2537041384081 is an apocalyptic number.

It is an amenable number.

537041384081 is a deficient number, since it is larger than the sum of its proper divisors (1).

537041384081 is an equidigital number, since it uses as much as digits as its factorization.

537041384081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 537041384081 in words is "five hundred thirty-seven billion, forty-one million, three hundred eighty-four thousand, eighty-one".