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135013597 is a prime number
BaseRepresentation
bin10000000110000…
…10010011011101
3100102001101211121
420003002103131
5234030413342
621221450541
73226411435
oct1003022335
9312041747
10135013597
116a236794
1239270a51
1321c82804
1413d072c5
15bcbe067
hex80c24dd

135013597 has 2 divisors, whose sum is σ = 135013598. Its totient is φ = 135013596.

The previous prime is 135013579. The next prime is 135013603. The reversal of 135013597 is 795310531.

Together with previous prime (135013579) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116942596 + 18071001 = 10814^2 + 4251^2 .

It is a cyclic number.

It is not a de Polignac number, because 135013597 - 215 = 134980829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135013517) 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, 67506798 + 67506799.

It is an arithmetic number, because the mean of its divisors is an integer number (67506799).

Almost surely, 2135013597 is an apocalyptic number.

It is an amenable number.

135013597 is a deficient number, since it is larger than the sum of its proper divisors (1).

135013597 is an equidigital number, since it uses as much as digits as its factorization.

135013597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 135013597 is about 11619.5351456072. The cubic root of 135013597 is about 513.0100060492.

The spelling of 135013597 in words is "one hundred thirty-five million, thirteen thousand, five hundred ninety-seven".