125321625 has 192 divisors, whose sum is σ = 286191360. Its totient is φ = 51840000.

The previous prime is 125321611. The next prime is 125321629. The reversal of 125321625 is 526123521.

It is a happy number.

125321625 is a `hidden beast` number, since 1 + 2 + 5 + 32 + 1 + 625 = 666.

It is not a de Polignac number, because 125321625 - 2⁵ = 125321593 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125321629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3056605 + ... + 3056645.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^125321625 is an apocalyptic number.

125321625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125321625 is an abundant number, since it is smaller than the sum of its proper divisors (160869735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125321625 is a wasteful number, since it uses less digits than its factorization.

125321625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 125321625 is about 11194.7141544570. The cubic root of 125321625 is about 500.4284660621.

The spelling of 125321625 in words is "one hundred twenty-five million, three hundred twenty-one thousand, six hundred twenty-five".