1057753133 has 2 divisors, whose sum is σ = 1057753134. Its totient is φ = 1057753132.

The previous prime is 1057753093. The next prime is 1057753157. The reversal of 1057753133 is 3313577501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950982244 + 106770889 = 30838^2 + 10333^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057753133 - 2⁶ = 1057753069 is a prime.

It is a super-2 number, since 2×1057753133² = 2237683380742631378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057753093 and 1057753102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057753183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528876566 + 528876567.

It is an arithmetic number, because the mean of its divisors is an integer number (528876567).

Almost surely, 2^1057753133 is an apocalyptic number.

It is an amenable number.

1057753133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057753133 is an equidigital number, since it uses as much as digits as its factorization.

1057753133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33075, while the sum is 35.

The square root of 1057753133 is about 32523.1169016747. The cubic root of 1057753133 is about 1018.8918931771.

The spelling of 1057753133 in words is "one billion, fifty-seven million, seven hundred fifty-three thousand, one hundred thirty-three".