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506052637 is a prime number
BaseRepresentation
bin11110001010011…
…100000000011101
31022021020010201021
4132022130000131
52014022141022
6122114244141
715353243056
oct3612340035
91267203637
10506052637
1123a720922
12121586651
1380ac403c
144b2cd72d
152e6617c7
hex1e29c01d

506052637 has 2 divisors, whose sum is σ = 506052638. Its totient is φ = 506052636.

The previous prime is 506052623. The next prime is 506052653. The reversal of 506052637 is 736250605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 349652601 + 156400036 = 18699^2 + 12506^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506052637 is a prime.

It is a super-3 number, since 3×5060526373 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506052037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253026318 + 253026319.

It is an arithmetic number, because the mean of its divisors is an integer number (253026319).

Almost surely, 2506052637 is an apocalyptic number.

It is an amenable number.

506052637 is a deficient number, since it is larger than the sum of its proper divisors (1).

506052637 is an equidigital number, since it uses as much as digits as its factorization.

506052637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 506052637 is about 22495.6137280137. The cubic root of 506052637 is about 796.8903433099.

The spelling of 506052637 in words is "five hundred six million, fifty-two thousand, six hundred thirty-seven".