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506784377129 is a prime number
BaseRepresentation
bin1110101111111101011…
…00111110100100101001
31210110002200012210001112
413113332230332210221
531300343300032004
61024451420000105
751420406062452
oct7277654764451
91713080183045
10506784377129
11185a20629448
1282275090035
1338a35889704
141a758292129
15d2b1558e6e
hex75feb3e929

506784377129 has 2 divisors, whose sum is σ = 506784377130. Its totient is φ = 506784377128.

The previous prime is 506784377117. The next prime is 506784377167. The reversal of 506784377129 is 921773487605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312878016025 + 193906361104 = 559355^2 + 440348^2 .

It is a cyclic number.

It is not a de Polignac number, because 506784377129 - 28 = 506784376873 is a prime.

It is not a weakly prime, because it can be changed into another prime (506784377629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253392188564 + 253392188565.

It is an arithmetic number, because the mean of its divisors is an integer number (253392188565).

It is a 1-persistent number, because it is pandigital, but 2⋅506784377129 = 1013568754258 is not.

Almost surely, 2506784377129 is an apocalyptic number.

It is an amenable number.

506784377129 is a deficient number, since it is larger than the sum of its proper divisors (1).

506784377129 is an equidigital number, since it uses as much as digits as its factorization.

506784377129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 59.

The spelling of 506784377129 in words is "five hundred six billion, seven hundred eighty-four million, three hundred seventy-seven thousand, one hundred twenty-nine".