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2541040081 is a prime number
BaseRepresentation
bin1001011101110101…
…0011000111010001
320120002102012200121
42113131103013101
520201001240311
61100051150241
7116653325056
oct22735230721
96502365617
102541040081
111094395028
125aaba5381
1331659b518
141a169502d
15ed135b71
hex977531d1

2541040081 has 2 divisors, whose sum is σ = 2541040082. Its totient is φ = 2541040080.

The previous prime is 2541040049. The next prime is 2541040121. The reversal of 2541040081 is 1800401452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1713960000 + 827080081 = 41400^2 + 28759^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541040081 - 25 = 2541040049 is a prime.

It is a super-3 number, since 3×25410400813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2541010081) 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, 1270520040 + 1270520041.

It is an arithmetic number, because the mean of its divisors is an integer number (1270520041).

Almost surely, 22541040081 is an apocalyptic number.

It is an amenable number.

2541040081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541040081 is an equidigital number, since it uses as much as digits as its factorization.

2541040081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 2541040081 is about 50408.7302061855. The cubic root of 2541040081 is about 1364.5951974021.

The spelling of 2541040081 in words is "two billion, five hundred forty-one million, forty thousand, eighty-one".