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511408086377 is a prime number
BaseRepresentation
bin1110111000100100100…
…11000001110101101001
31210220000220112112202012
413130102103001311221
531334330432231002
61030534310045305
751643112003366
oct7342223016551
91726026475665
10511408086377
11187983594661
1283145649835
13392c1788546
141aa763a146d
15d482431d52
hex77124c1d69

511408086377 has 2 divisors, whose sum is σ = 511408086378. Its totient is φ = 511408086376.

The previous prime is 511408086341. The next prime is 511408086389. The reversal of 511408086377 is 773680804115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 484122332521 + 27285753856 = 695789^2 + 165184^2 .

It is a cyclic number.

It is not a de Polignac number, because 511408086377 - 212 = 511408082281 is a prime.

It is a super-2 number, since 2×5114080863772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (511408086307) 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, 255704043188 + 255704043189.

It is an arithmetic number, because the mean of its divisors is an integer number (255704043189).

Almost surely, 2511408086377 is an apocalyptic number.

It is an amenable number.

511408086377 is a deficient number, since it is larger than the sum of its proper divisors (1).

511408086377 is an equidigital number, since it uses as much as digits as its factorization.

511408086377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 511408086377 in words is "five hundred eleven billion, four hundred eight million, eighty-six thousand, three hundred seventy-seven".