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52837313 is a prime number
BaseRepresentation
bin1100100110001…
…1101111000001
310200102102011112
43021203233001
5102011243223
65124253105
71211052434
oct311435701
9120372145
1052837313
1127909501
1215841195
13ac3c9a9
14703581b
15498a778
hex3263bc1

52837313 has 2 divisors, whose sum is σ = 52837314. Its totient is φ = 52837312.

The previous prime is 52837307. The next prime is 52837373. The reversal of 52837313 is 31373825.

52837313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45064369 + 7772944 = 6713^2 + 2788^2 .

It is a cyclic number.

It is not a de Polignac number, because 52837313 - 222 = 48643009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52837313.

It is not a weakly prime, because it can be changed into another prime (52837373) 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, 26418656 + 26418657.

It is an arithmetic number, because the mean of its divisors is an integer number (26418657).

Almost surely, 252837313 is an apocalyptic number.

It is an amenable number.

52837313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52837313 is an equidigital number, since it uses as much as digits as its factorization.

52837313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 32.

The square root of 52837313 is about 7268.9279126980. The cubic root of 52837313 is about 375.2438425929.

The spelling of 52837313 in words is "fifty-two million, eight hundred thirty-seven thousand, three hundred thirteen".