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2205211251553 is a prime number
BaseRepresentation
bin100000000101110000110…
…101010101001101100001
321210211000222000112200021
4200011300311111031201
5242112233040022203
64405020550153441
7315215122235212
oct40056065251541
97724028015607
102205211251553
11780252297452
122b7474952881
1312cc4840883b
1478a38b03409
153c568bd65bd
hex20170d55361

2205211251553 has 2 divisors, whose sum is σ = 2205211251554. Its totient is φ = 2205211251552.

The previous prime is 2205211251493. The next prime is 2205211251563. The reversal of 2205211251553 is 3551521125022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2015244285649 + 189966965904 = 1419593^2 + 435852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2205211251553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205211251563) 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, 1102605625776 + 1102605625777.

It is an arithmetic number, because the mean of its divisors is an integer number (1102605625777).

Almost surely, 22205211251553 is an apocalyptic number.

It is an amenable number.

2205211251553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205211251553 is an equidigital number, since it uses as much as digits as its factorization.

2205211251553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 2205211251553 its reverse (3551521125022), we get a palindrome (5756732376575).

The spelling of 2205211251553 in words is "two trillion, two hundred five billion, two hundred eleven million, two hundred fifty-one thousand, five hundred fifty-three".