125625 has 20 divisors (see below), whose sum is σ = 212432. Its totient is φ = 66000.

The previous prime is 125621. The next prime is 125627. The reversal of 125625 is 526521.

It is not a de Polignac number, because 125625 - 2² = 125621 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

Its product of digits (600) is a multiple of the sum of its prime divisors (75).

It is not an unprimeable number, because it can be changed into a prime (125621) 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 19 ways as a sum of consecutive naturals, for example, 1842 + ... + 1908.

2¹²⁵⁶²⁵ is an apocalyptic number.

125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125625 is a deficient number, since it is larger than the sum of its proper divisors (86807).

125625 is an frugal number, since it uses more digits than its factorization.

125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 125625 is about 354.4361719689. The cubic root of 125625 is about 50.0831948290.

It can be divided in two parts, 125 and 625, that multiplied together give a 7-th power (78125 = 5⁷).

The spelling of 125625 in words is "one hundred twenty-five thousand, six hundred twenty-five".