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1268153137 is a prime number
BaseRepresentation
bin100101110010110…
…0111101100110001
310021101020212001201
41023211213230301
510044121400022
6325500531201
743266060316
oct11345475461
93241225051
101268153137
115a0926249
122b4850b01
13172967494
14c05d0d0d
15764ee127
hex4b967b31

1268153137 has 2 divisors, whose sum is σ = 1268153138. Its totient is φ = 1268153136.

The previous prime is 1268153123. The next prime is 1268153147. The reversal of 1268153137 is 7313518621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1031116321 + 237036816 = 32111^2 + 15396^2 .

It is an emirp because it is prime and its reverse (7313518621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1268153137 - 211 = 1268151089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1268153096 and 1268153105.

It is not a weakly prime, because it can be changed into another prime (1268153147) 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, 634076568 + 634076569.

It is an arithmetic number, because the mean of its divisors is an integer number (634076569).

Almost surely, 21268153137 is an apocalyptic number.

It is an amenable number.

1268153137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1268153137 is an equidigital number, since it uses as much as digits as its factorization.

1268153137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 1268153137 is about 35611.1378223162. The cubic root of 1268153137 is about 1082.4069366202.

The spelling of 1268153137 in words is "one billion, two hundred sixty-eight million, one hundred fifty-three thousand, one hundred thirty-seven".