1057161137 has 2 divisors, whose sum is σ = 1057161138. Its totient is φ = 1057161136.

The previous prime is 1057161043. The next prime is 1057161181. The reversal of 1057161137 is 7311617501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988536481 + 68624656 = 31441^2 + 8284^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057161137 - 2²⁴ = 1040383921 is a prime.

It is a super-2 number, since 2×1057161137² = 2235179339166265538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057181137) 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, 528580568 + 528580569.

It is an arithmetic number, because the mean of its divisors is an integer number (528580569).

Almost surely, 2^1057161137 is an apocalyptic number.

It is an amenable number.

1057161137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057161137 is an equidigital number, since it uses as much as digits as its factorization.

1057161137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 1057161137 is about 32514.0144706863. The cubic root of 1057161137 is about 1018.7017755686.

Adding to 1057161137 its reverse (7311617501), we get a palindrome (8368778638).

The spelling of 1057161137 in words is "one billion, fifty-seven million, one hundred sixty-one thousand, one hundred thirty-seven".