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135313753 is a prime number
BaseRepresentation
bin10000001000010…
…11100101011001
3100102121122120111
420010023211121
5234120020003
621232124321
73232101511
oct1004134531
9312548514
10135313753
116a421253
12393966a1
1322059313
1413d84841
15bd2ce6d
hex810b959

135313753 has 2 divisors, whose sum is σ = 135313754. Its totient is φ = 135313752.

The previous prime is 135313751. The next prime is 135313757. The reversal of 135313753 is 357313531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 50083929 = 9232^2 + 7077^2 .

It is a cyclic number.

It is not a de Polignac number, because 135313753 - 21 = 135313751 is a prime.

Together with 135313751, it forms a pair of twin primes.

It is equal to p7662235 and since 135313753 and 7662235 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (135313751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67656876 + 67656877.

It is an arithmetic number, because the mean of its divisors is an integer number (67656877).

Almost surely, 2135313753 is an apocalyptic number.

It is an amenable number.

135313753 is a deficient number, since it is larger than the sum of its proper divisors (1).

135313753 is an equidigital number, since it uses as much as digits as its factorization.

135313753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14175, while the sum is 31.

The square root of 135313753 is about 11632.4439822421. The cubic root of 135313753 is about 513.3898913995.

The spelling of 135313753 in words is "one hundred thirty-five million, three hundred thirteen thousand, seven hundred fifty-three".