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135085698257 is a prime number
BaseRepresentation
bin111110111001110111…
…1000010110011010001
3110220200100120111002112
41331303233002303101
54203123414321012
6142020231155105
712521356326656
oct1756357026321
9426610514075
10135085698257
115232039a544
122221bb15a95
13c97a70a343
146776ab7c2d
1537a9597122
hex1f73bc2cd1

135085698257 has 2 divisors, whose sum is σ = 135085698258. Its totient is φ = 135085698256.

The previous prime is 135085698203. The next prime is 135085698287. The reversal of 135085698257 is 752896580531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83905232896 + 51180465361 = 289664^2 + 226231^2 .

It is an emirp because it is prime and its reverse (752896580531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135085698257 - 26 = 135085698193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135085698196 and 135085698205.

It is not a weakly prime, because it can be changed into another prime (135085698287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67542849128 + 67542849129.

It is an arithmetic number, because the mean of its divisors is an integer number (67542849129).

Almost surely, 2135085698257 is an apocalyptic number.

It is an amenable number.

135085698257 is a deficient number, since it is larger than the sum of its proper divisors (1).

135085698257 is an equidigital number, since it uses as much as digits as its factorization.

135085698257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144000, while the sum is 59.

The spelling of 135085698257 in words is "one hundred thirty-five billion, eighty-five million, six hundred ninety-eight thousand, two hundred fifty-seven".