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85753313 is a prime number
BaseRepresentation
bin1010001110001…
…11110111100001
312222100201102122
411013013313201
5133423101223
612301554025
72060614442
oct507076741
9188321378
1085753313
1144450808
1224875915
13149c6009
14b5632c9
1577dd5c8
hex51c7de1

85753313 has 2 divisors, whose sum is σ = 85753314. Its totient is φ = 85753312.

The previous prime is 85753307. The next prime is 85753337. The reversal of 85753313 is 31335758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53114944 + 32638369 = 7288^2 + 5713^2 .

It is a cyclic number.

It is not a de Polignac number, because 85753313 - 212 = 85749217 is a prime.

It is not a weakly prime, because it can be changed into another prime (85753363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42876656 + 42876657.

It is an arithmetic number, because the mean of its divisors is an integer number (42876657).

Almost surely, 285753313 is an apocalyptic number.

It is an amenable number.

85753313 is a deficient number, since it is larger than the sum of its proper divisors (1).

85753313 is an equidigital number, since it uses as much as digits as its factorization.

85753313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 35.

The square root of 85753313 is about 9260.3084721839. The cubic root of 85753313 is about 440.9780464628.

The spelling of 85753313 in words is "eighty-five million, seven hundred fifty-three thousand, three hundred thirteen".