1057057081 has 2 divisors, whose sum is σ = 1057057082. Its totient is φ = 1057057080.

The previous prime is 1057057049. The next prime is 1057057103. The reversal of 1057057081 is 1807507501.

1057057081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 738969856 + 318087225 = 27184^2 + 17835^2 .

It is an emirp because it is prime and its reverse (1807507501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057057081 - 2⁵ = 1057057049 is a prime.

It is a super-2 number, since 2×1057057081² = 2234739344984481122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057057021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528528540 + 528528541.

It is an arithmetic number, because the mean of its divisors is an integer number (528528541).

Almost surely, 2^1057057081 is an apocalyptic number.

It is an amenable number.

1057057081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057057081 is an equidigital number, since it uses as much as digits as its factorization.

1057057081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9800, while the sum is 34.

The square root of 1057057081 is about 32512.4142597870. The cubic root of 1057057081 is about 1018.6683509858.

The spelling of 1057057081 in words is "one billion, fifty-seven million, fifty-seven thousand, eighty-one".