125783125 has 40 divisors (see below), whose sum is σ = 172013688. Its totient is φ = 91392000.

The previous prime is 125783111. The next prime is 125783131. The reversal of 125783125 is 521387521.

It can be written as a sum of positive squares in 20 ways, for example, as 109453444 + 16329681 = 10462^2 + 4041^2 .

It is not a de Polignac number, because 125783125 - 2⁵ = 125783093 is a prime.

It is a super-3 number, since 3×125783125³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 918057 + ... + 918193.

Almost surely, 2^125783125 is an apocalyptic number.

It is an amenable number.

125783125 is a deficient number, since it is larger than the sum of its proper divisors (46230563).

125783125 is a wasteful number, since it uses less digits than its factorization.

125783125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 125783125 is about 11215.3076194993. The cubic root of 125783125 is about 501.0419936566.

The spelling of 125783125 in words is "one hundred twenty-five million, seven hundred eighty-three thousand, one hundred twenty-five".