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505419137 is a prime number
BaseRepresentation
bin11110001000000…
…001010110000001
31022020000221201022
4132020001112001
52013341403022
6122052515225
715344664116
oct3610012601
91266027638
10505419137
1123a328973
1212131bb15
13809318a2
144b1a690d
152e588c42
hex1e201581

505419137 has 2 divisors, whose sum is σ = 505419138. Its totient is φ = 505419136.

The previous prime is 505419127. The next prime is 505419139. The reversal of 505419137 is 731914505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264517696 + 240901441 = 16264^2 + 15521^2 .

It is a cyclic number.

It is not a de Polignac number, because 505419137 - 26 = 505419073 is a prime.

Together with 505419139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 505419097 and 505419106.

It is not a weakly prime, because it can be changed into another prime (505419139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252709568 + 252709569.

It is an arithmetic number, because the mean of its divisors is an integer number (252709569).

Almost surely, 2505419137 is an apocalyptic number.

It is an amenable number.

505419137 is a deficient number, since it is larger than the sum of its proper divisors (1).

505419137 is an equidigital number, since it uses as much as digits as its factorization.

505419137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 505419137 is about 22481.5287958804. The cubic root of 505419137 is about 796.5576764430.

The spelling of 505419137 in words is "five hundred five million, four hundred nineteen thousand, one hundred thirty-seven".