Search a number
-
+
521055627661301 is a prime number
BaseRepresentation
bin111011001111001011011011…
…1100110000100111111110101
32112022220102122120201120012012
41312132112313212010333311
51021243433411140130201
65044105352324134005
7214516012123163225
oct16636266746047765
92468812576646165
10521055627661301
1114102a4a5a16aa7
124a5340a3537305
13194984478a3a75
149295326a1a085
154038cbc97a5bb
hex1d9e5b7984ff5

521055627661301 has 2 divisors, whose sum is σ = 521055627661302. Its totient is φ = 521055627661300.

The previous prime is 521055627661189. The next prime is 521055627661559. The reversal of 521055627661301 is 103166726550125.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 494442141963025 + 26613485698276 = 22236055^2 + 5158826^2 .

It is a cyclic number.

It is not a de Polignac number, because 521055627661301 - 222 = 521055623466997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 521055627661301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (521055621661301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260527813830650 + 260527813830651.

It is an arithmetic number, because the mean of its divisors is an integer number (260527813830651).

Almost surely, 2521055627661301 is an apocalyptic number.

It is an amenable number.

521055627661301 is a deficient number, since it is larger than the sum of its proper divisors (1).

521055627661301 is an equidigital number, since it uses as much as digits as its factorization.

521055627661301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 521055627661301 in words is "five hundred twenty-one trillion, fifty-five billion, six hundred twenty-seven million, six hundred sixty-one thousand, three hundred one".