1936538111257 has 2 divisors, whose sum is σ = 1936538111258. Its totient is φ = 1936538111256.

The previous prime is 1936538111171. The next prime is 1936538111269. The reversal of 1936538111257 is 7521118356391.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1645624586761 + 290913524496 = 1282819^2 + 539364^2 .

It is an emirp because it is prime and its reverse (7521118356391) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1936538111257 - 2¹⁹ = 1936537586969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1936538141257) 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, 968269055628 + 968269055629.

It is an arithmetic number, because the mean of its divisors is an integer number (968269055629).

Almost surely, 2^{1936538111257} is an apocalyptic number.

It is an amenable number.

1936538111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1936538111257 is an equidigital number, since it uses as much as digits as its factorization.

1936538111257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1360800, while the sum is 52.

The spelling of 1936538111257 in words is "one trillion, nine hundred thirty-six billion, five hundred thirty-eight million, one hundred eleven thousand, two hundred fifty-seven".