1295628998057 has 2 divisors, whose sum is σ = 1295628998058. Its totient is φ = 1295628998056.

The previous prime is 1295628998023. The next prime is 1295628998077. The reversal of 1295628998057 is 7508998265921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1174934595136 + 120694402921 = 1083944^2 + 347411^2 .

It is an emirp because it is prime and its reverse (7508998265921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1295628998057 - 2²⁴ = 1295612220841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1295628998077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 647814499028 + 647814499029.

It is an arithmetic number, because the mean of its divisors is an integer number (647814499029).

Almost surely, 2^{1295628998057} is an apocalyptic number.

It is an amenable number.

1295628998057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1295628998057 is an equidigital number, since it uses as much as digits as its factorization.

1295628998057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 195955200, while the sum is 71.

The spelling of 1295628998057 in words is "one trillion, two hundred ninety-five billion, six hundred twenty-eight million, nine hundred ninety-eight thousand, fifty-seven".