125403201 has 64 divisors (see below), whose sum is σ = 236544000. Its totient is φ = 65091600.

The previous prime is 125403181. The next prime is 125403217. The reversal of 125403201 is 102304521.

It is not a de Polignac number, because 125403201 - 2⁷ = 125403073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125403241) 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 in 63 ways as a sum of consecutive naturals, for example, 101256 + ... + 102486.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^125403201 is an apocalyptic number.

125403201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125403201 is a deficient number, since it is larger than the sum of its proper divisors (111140799).

125403201 is a wasteful number, since it uses less digits than its factorization.

125403201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125403201 is about 11198.3570669987. The cubic root of 125403201 is about 500.5370243366.

Adding to 125403201 its reverse (102304521), we get a palindrome (227707722).

The spelling of 125403201 in words is "one hundred twenty-five million, four hundred three thousand, two hundred one".