125283249 has 81 divisors (see below), whose sum is σ = 233643969. Its totient is φ = 64471680.

The previous prime is 125283241. The next prime is 125283259. The reversal of 125283249 is 942382521.

It is a happy number.

The square root of 125283249 is 11193.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83448225 + 41835024 = 9135^2 + 6468^2 .

It is not a de Polignac number, because 125283249 - 2³ = 125283241 is a prime.

Its product of digits (34560) is a multiple of the sum of its prime divisors (64).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125283241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3055669 + ... + 3055709.

Almost surely, 2^125283249 is an apocalyptic number.

125283249 is the 11193-rd square number.

125283249 is the 5597-th centered octagonal number.

It is an amenable number.

125283249 is a deficient number, since it is larger than the sum of its proper divisors (108360720).

125283249 is a wasteful number, since it uses less digits than its factorization.

125283249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 125283249 is about 500.3773804297.

Multiplying 125283249 by its sum of digits (36), we get a square (4510196964 = 67158²).

The spelling of 125283249 in words is "one hundred twenty-five million, two hundred eighty-three thousand, two hundred forty-nine".