130057 has 2 divisors, whose sum is σ = 130058. Its totient is φ = 130056.

The previous prime is 130051. The next prime is 130069. The reversal of 130057 is 750031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 17161 = 336^2 + 131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130057 is a prime.

It is a super-4 number, since 4×130057⁴ (a number of 22 digits) contains 4444 as substring.

130057 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 130057.

It is not a weakly prime, because it can be changed into another prime (130051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65028 + 65029.

It is an arithmetic number, because the mean of its divisors is an integer number (65029).

2¹³⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

130057 is a deficient number, since it is larger than the sum of its proper divisors (1).

130057 is an equidigital number, since it uses as much as digits as its factorization.

130057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 130057 is about 360.6341636617. The cubic root of 130057 is about 50.6653729664.

Adding to 130057 its reverse (750031), we get a palindrome (880088).

The spelling of 130057 in words is "one hundred thirty thousand, fifty-seven".