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505406240117 is a prime number
BaseRepresentation
bin1110101101011001000…
…11110011010101110101
31210022112122000011110222
413112230203303111311
531240032444140432
61024102545424125
751341303105342
oct7265443632565
91708478004428
10505406240117
11185383712739
1281b4b63b045
13388761c431c
141a6672317c9
15d230582112
hex75ac8f3575

505406240117 has 2 divisors, whose sum is σ = 505406240118. Its totient is φ = 505406240116.

The previous prime is 505406240099. The next prime is 505406240137. The reversal of 505406240117 is 711042604505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308790264721 + 196615975396 = 555689^2 + 443414^2 .

It is a cyclic number.

It is not a de Polignac number, because 505406240117 - 212 = 505406236021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505406240137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252703120058 + 252703120059.

It is an arithmetic number, because the mean of its divisors is an integer number (252703120059).

Almost surely, 2505406240117 is an apocalyptic number.

It is an amenable number.

505406240117 is a deficient number, since it is larger than the sum of its proper divisors (1).

505406240117 is an equidigital number, since it uses as much as digits as its factorization.

505406240117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 505406240117 in words is "five hundred five billion, four hundred six million, two hundred forty thousand, one hundred seventeen".