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2543626004081 is a prime number
BaseRepresentation
bin100101000000111011111…
…011001010011001110001
3100000011112200002012012112
4211000323323022121301
5313133321224112311
65224305312535105
7351525265203611
oct45007373123161
910004480065175
102543626004081
118a0822626908
12350b7b251495
13155b2aa4aa36
148b17da7ca41
1546273ae428b
hex2503beca671

2543626004081 has 2 divisors, whose sum is σ = 2543626004082. Its totient is φ = 2543626004080.

The previous prime is 2543626004063. The next prime is 2543626004111. The reversal of 2543626004081 is 1804006263452.

2543626004081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2019752592400 + 523873411681 = 1421180^2 + 723791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2543626004081 is a prime.

It is a super-2 number, since 2×25436260040812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2543626004021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1271813002040 + 1271813002041.

It is an arithmetic number, because the mean of its divisors is an integer number (1271813002041).

Almost surely, 22543626004081 is an apocalyptic number.

It is an amenable number.

2543626004081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2543626004081 is an equidigital number, since it uses as much as digits as its factorization.

2543626004081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 2543626004081 in words is "two trillion, five hundred forty-three billion, six hundred twenty-six million, four thousand, eighty-one".