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135257053 is a prime number
BaseRepresentation
bin10000000111111…
…01101111011101
3100102111202210111
420003331233131
5234111211203
621231010021
73231444301
oct1003755735
9312452714
10135257053
116a392698
1239369911
1322039579
1413d6bd01
15bd1b26d
hex80fdbdd

135257053 has 2 divisors, whose sum is σ = 135257054. Its totient is φ = 135257052.

The previous prime is 135257051. The next prime is 135257063. The reversal of 135257053 is 350752531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121396324 + 13860729 = 11018^2 + 3723^2 .

It is an emirp because it is prime and its reverse (350752531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135257053 - 21 = 135257051 is a prime.

Together with 135257051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135257051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67628526 + 67628527.

It is an arithmetic number, because the mean of its divisors is an integer number (67628527).

Almost surely, 2135257053 is an apocalyptic number.

135257053 is the 6217-th centered heptagonal number.

It is an amenable number.

135257053 is a deficient number, since it is larger than the sum of its proper divisors (1).

135257053 is an equidigital number, since it uses as much as digits as its factorization.

135257053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 135257053 is about 11630.0065778141. The cubic root of 135257053 is about 513.3181734527.

The spelling of 135257053 in words is "one hundred thirty-five million, two hundred fifty-seven thousand, fifty-three".