Search a number
-
+
511105555061 is a prime number
BaseRepresentation
bin1110111000000000100…
…00111101101001110101
31210212020211021100210122
413130000100331221311
531333221010230221
61030444301501325
751632446352033
oct7340020755165
91725224240718
10511105555061
11187838841382
1283080271845
1339273bb252a
141aa4812d553
15d465ac2eab
hex770043da75

511105555061 has 2 divisors, whose sum is σ = 511105555062. Its totient is φ = 511105555060.

The previous prime is 511105554991. The next prime is 511105555063. The reversal of 511105555061 is 160555501115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 495876514225 + 15229040836 = 704185^2 + 123406^2 .

It is a cyclic number.

It is not a de Polignac number, because 511105555061 - 218 = 511105292917 is a prime.

It is a super-2 number, since 2×5111055550612 (a number of 24 digits) contains 22 as substring.

Together with 511105555063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511105555063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255552777530 + 255552777531.

It is an arithmetic number, because the mean of its divisors is an integer number (255552777531).

Almost surely, 2511105555061 is an apocalyptic number.

It is an amenable number.

511105555061 is a deficient number, since it is larger than the sum of its proper divisors (1).

511105555061 is an equidigital number, since it uses as much as digits as its factorization.

511105555061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 511105555061 in words is "five hundred eleven billion, one hundred five million, five hundred fifty-five thousand, sixty-one".