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10010505581 is a prime number
BaseRepresentation
bin10010101001010110…
…00011000101101101
3221211122112101001222
421110223003011231
5131000142134311
64333155513125
7503032615316
oct112453030555
927748471058
1010010505581
11427774000a
121b345b87a5
13c36c281ab
146ad6d960d
153d8c85adb
hex254ac316d

10010505581 has 2 divisors, whose sum is σ = 10010505582. Its totient is φ = 10010505580.

The previous prime is 10010505569. The next prime is 10010505587. The reversal of 10010505581 is 18550501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7808549956 + 2201955625 = 88366^2 + 46925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010505581 is a prime.

It is a super-2 number, since 2×100105055812 (a number of 21 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 10010505581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010505587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005252790 + 5005252791.

It is an arithmetic number, because the mean of its divisors is an integer number (5005252791).

Almost surely, 210010505581 is an apocalyptic number.

It is an amenable number.

10010505581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010505581 is an equidigital number, since it uses as much as digits as its factorization.

10010505581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1000, while the sum is 26.

The spelling of 10010505581 in words is "ten billion, ten million, five hundred five thousand, five hundred eighty-one".