125037653 has 16 divisors (see below), whose sum is σ = 138121200. Its totient is φ = 112479744.

The previous prime is 125037641. The next prime is 125037667. The reversal of 125037653 is 356730521.

It can be written as a sum of positive squares in 8 ways, for example, as 18679684 + 106357969 = 4322^2 + 10313^2 .

It is not a de Polignac number, because 125037653 - 2¹⁰ = 125036629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125037623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118673 + ... + 119721.

It is an arithmetic number, because the mean of its divisors is an integer number (8632575).

Almost surely, 2^125037653 is an apocalyptic number.

125037653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125037653 is a deficient number, since it is larger than the sum of its proper divisors (13083547).

125037653 is a wasteful number, since it uses less digits than its factorization.

125037653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 125037653 is about 11182.0236540619. The cubic root of 125037653 is about 500.0501989600.

The spelling of 125037653 in words is "one hundred twenty-five million, thirty-seven thousand, six hundred fifty-three".