1055101335257 has 2 divisors, whose sum is σ = 1055101335258. Its totient is φ = 1055101335256.

The previous prime is 1055101335203. The next prime is 1055101335271. The reversal of 1055101335257 is 7525331015501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 682038132736 + 373063202521 = 825856^2 + 610789^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055101335257 - 2¹² = 1055101331161 is a prime.

It is a super-2 number, since 2×1055101335257² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055101335257.

It is not a weakly prime, because it can be changed into another prime (1055101235257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527550667628 + 527550667629.

It is an arithmetic number, because the mean of its divisors is an integer number (527550667629).

Almost surely, 2^{1055101335257} is an apocalyptic number.

It is an amenable number.

1055101335257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055101335257 is an equidigital number, since it uses as much as digits as its factorization.

1055101335257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78750, while the sum is 38.

The spelling of 1055101335257 in words is "one trillion, fifty-five billion, one hundred one million, three hundred thirty-five thousand, two hundred fifty-seven".