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2556404520169 is a prime number
BaseRepresentation
bin100101001100110101100…
…101010101010011101001
3100001101112020010001212011
4211030311211111103221
5313341004024121134
65234221312515521
7352460041614553
oct45146545252351
910041466101764
102556404520169
118a618a785105
1235354684bba1
131570b6282766
148ba32c324d3
1546770896264
hex253359554e9

2556404520169 has 2 divisors, whose sum is σ = 2556404520170. Its totient is φ = 2556404520168.

The previous prime is 2556404520167. The next prime is 2556404520281. The reversal of 2556404520169 is 9610254046552.

2556404520169 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., 2342849625769 + 213554894400 = 1530637^2 + 462120^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556404520169 - 21 = 2556404520167 is a prime.

It is a super-2 number, since 2×25564045201692 (a number of 26 digits) contains 22 as substring.

Together with 2556404520167, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2556404520161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278202260084 + 1278202260085.

It is an arithmetic number, because the mean of its divisors is an integer number (1278202260085).

Almost surely, 22556404520169 is an apocalyptic number.

It is an amenable number.

2556404520169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2556404520169 is an equidigital number, since it uses as much as digits as its factorization.

2556404520169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 2556404520169 in words is "two trillion, five hundred fifty-six billion, four hundred four million, five hundred twenty thousand, one hundred sixty-nine".