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553064401441 is a prime number
BaseRepresentation
bin10000000110001010011…
…01010000101000100001
31221212120000020121101001
420003011031100220201
533030133441321231
61102024013312001
754646310563156
oct10030515205041
91855500217331
10553064401441
111a360a488722
128b230195601
13401cca30496
141caa892222d
15e5be53db61
hex80c5350a21

553064401441 has 2 divisors, whose sum is σ = 553064401442. Its totient is φ = 553064401440.

The previous prime is 553064401423. The next prime is 553064401451. The reversal of 553064401441 is 144104460355.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551930126400 + 1134275041 = 742920^2 + 33679^2 .

It is a cyclic number.

It is not a de Polignac number, because 553064401441 - 27 = 553064401313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 553064401441.

It is not a weakly prime, because it can be changed into another prime (553064401451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 276532200720 + 276532200721.

It is an arithmetic number, because the mean of its divisors is an integer number (276532200721).

Almost surely, 2553064401441 is an apocalyptic number.

It is an amenable number.

553064401441 is a deficient number, since it is larger than the sum of its proper divisors (1).

553064401441 is an equidigital number, since it uses as much as digits as its factorization.

553064401441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 553064401441 its reverse (144104460355), we get a palindrome (697168861796).

The spelling of 553064401441 in words is "five hundred fifty-three billion, sixty-four million, four hundred one thousand, four hundred forty-one".