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1253129266393 is a prime number
BaseRepresentation
bin10010001111000100010…
…100110010010011011001
311102210112201210111002121
4102033010110302103121
5131012402043011033
62355402445101241
7156351466005304
oct22170424622331
94383481714077
101253129266393
114434a3890314
12182a46557821
139122875b844
144491a6adb3b
15228e415a62d
hex123c45324d9

1253129266393 has 2 divisors, whose sum is σ = 1253129266394. Its totient is φ = 1253129266392.

The previous prime is 1253129266391. The next prime is 1253129266421. The reversal of 1253129266393 is 3936629213521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1144722386889 + 108406879504 = 1069917^2 + 329252^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253129266393 - 21 = 1253129266391 is a prime.

Together with 1253129266391, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1253129266393.

It is not a weakly prime, because it can be changed into another prime (1253129266391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626564633196 + 626564633197.

It is an arithmetic number, because the mean of its divisors is an integer number (626564633197).

Almost surely, 21253129266393 is an apocalyptic number.

It is an amenable number.

1253129266393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253129266393 is an equidigital number, since it uses as much as digits as its factorization.

1253129266393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3149280, while the sum is 52.

The spelling of 1253129266393 in words is "one trillion, two hundred fifty-three billion, one hundred twenty-nine million, two hundred sixty-six thousand, three hundred ninety-three".