125753 has 2 divisors, whose sum is σ = 125754. Its totient is φ = 125752.

The previous prime is 125743. The next prime is 125777. The reversal of 125753 is 357521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 1849 = 352^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 125753 - 2⁴ = 125737 is a prime.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (125743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62876 + 62877.

It is an arithmetic number, because the mean of its divisors is an integer number (62877).

2¹²⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

125753 is a deficient number, since it is larger than the sum of its proper divisors (1).

125753 is an equidigital number, since it uses as much as digits as its factorization.

125753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050, while the sum is 23.

The square root of 125753 is about 354.6166944745. The cubic root of 125753 is about 50.1001990688.

It can be divided in two parts, 125 and 753, that added together give a palindrome (878).

The spelling of 125753 in words is "one hundred twenty-five thousand, seven hundred fifty-three".