125012500 has 72 divisors (see below), whose sum is σ = 279216504. Its totient is φ = 48960000.

The previous prime is 125012497. The next prime is 125012501. The reversal of 125012500 is 5210521.

It can be written as a sum of positive squares in 12 ways, for example, as 123343236 + 1669264 = 11106^2 + 1292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125012501) 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 23 ways as a sum of consecutive naturals, for example, 912432 + ... + 912568.

It is an arithmetic number, because the mean of its divisors is an integer number (3878007).

Almost surely, 2^125012500 is an apocalyptic number.

125012500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139608252).

125012500 is an abundant number, since it is smaller than the sum of its proper divisors (154204004).

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

125012500 is an equidigital number, since it uses as much as digits as its factorization.

125012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 125012500 is about 11180.8988905186. The cubic root of 125012500 is about 500.0166661111.

It can be divided in two parts, 1250 and 12500, that multiplied together give a cube (15625000 = 250³).

The spelling of 125012500 in words is "one hundred twenty-five million, twelve thousand, five hundred".