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255545522550541 is a prime number
BaseRepresentation
bin111010000110101011010100…
…000110000111011100001101
31020111210220122211211100000101
4322012223110012013130031
5231443324212233104131
62303255554204531101
7104553361163003626
oct7206532406073415
91214726584740011
10255545522550541
117447427a470393
12247b2526550a91
13ac78abb154402
14471667da0ca4d
151e824d37b1c61
hexe86ad418770d

255545522550541 has 2 divisors, whose sum is σ = 255545522550542. Its totient is φ = 255545522550540.

The previous prime is 255545522550499. The next prime is 255545522550557. The reversal of 255545522550541 is 145055225545552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206059278205225 + 49486244345316 = 14354765^2 + 7034646^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-255545522550541 is a prime.

It is a super-3 number, since 3×2555455225505413 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (255545522551541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127772761275270 + 127772761275271.

It is an arithmetic number, because the mean of its divisors is an integer number (127772761275271).

Almost surely, 2255545522550541 is an apocalyptic number.

It is an amenable number.

255545522550541 is a deficient number, since it is larger than the sum of its proper divisors (1).

255545522550541 is an equidigital number, since it uses as much as digits as its factorization.

255545522550541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50000000, while the sum is 55.

The spelling of 255545522550541 in words is "two hundred fifty-five trillion, five hundred forty-five billion, five hundred twenty-two million, five hundred fifty thousand, five hundred forty-one".