127246561600393 has 2 divisors, whose sum is σ = 127246561600394. Its totient is φ = 127246561600392.

The previous prime is 127246561600307. The next prime is 127246561600429. The reversal of 127246561600393 is 393006165642721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127236888484489 + 9673115904 = 11279933^2 + 98352^2 .

It is a cyclic number.

It is not a de Polignac number, because 127246561600393 - 2¹³ = 127246561592201 is a prime.

It is a super-2 number, since 2×127246561600393² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127246561600303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63623280800196 + 63623280800197.

It is an arithmetic number, because the mean of its divisors is an integer number (63623280800197).

Almost surely, 2^{127246561600393} is an apocalyptic number.

It is an amenable number.

127246561600393 is a deficient number, since it is larger than the sum of its proper divisors (1).

127246561600393 is an equidigital number, since it uses as much as digits as its factorization.

127246561600393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 127246561600393 in words is "one hundred twenty-seven trillion, two hundred forty-six billion, five hundred sixty-one million, six hundred thousand, three hundred ninety-three".