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505876213 is a prime number
BaseRepresentation
bin11110001001110…
…000111011110101
31022020220011201001
4132021300323311
52014001014323
6122110403301
715351606523
oct3611607365
91266804631
10505876213
1123a610317
12121500531
1380a6194b
144b285313
152e6293ad
hex1e270ef5

505876213 has 2 divisors, whose sum is σ = 505876214. Its totient is φ = 505876212.

The previous prime is 505876201. The next prime is 505876223. The reversal of 505876213 is 312678505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 416894724 + 88981489 = 20418^2 + 9433^2 .

It is a cyclic number.

It is not a de Polignac number, because 505876213 - 213 = 505868021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505876223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252938106 + 252938107.

It is an arithmetic number, because the mean of its divisors is an integer number (252938107).

Almost surely, 2505876213 is an apocalyptic number.

It is an amenable number.

505876213 is a deficient number, since it is larger than the sum of its proper divisors (1).

505876213 is an equidigital number, since it uses as much as digits as its factorization.

505876213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 505876213 is about 22491.6920884134. The cubic root of 505876213 is about 796.7977265129.

The spelling of 505876213 in words is "five hundred five million, eight hundred seventy-six thousand, two hundred thirteen".