125288253 has 12 divisors (see below), whose sum is σ = 185863548. Its totient is φ = 81267840.

The previous prime is 125288239. The next prime is 125288279. The reversal of 125288253 is 352882521.

125288253 is a `hidden beast` number, since 1 + 2 + 528 + 82 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105945849 + 19342404 = 10293^2 + 4398^2 .

It is not a de Polignac number, because 125288253 - 2⁹ = 125287741 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125288353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187788 + ... + 188453.

It is an arithmetic number, because the mean of its divisors is an integer number (15488629).

Almost surely, 2^125288253 is an apocalyptic number.

It is an amenable number.

125288253 is a deficient number, since it is larger than the sum of its proper divisors (60575295).

125288253 is a wasteful number, since it uses less digits than its factorization.

125288253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376284 (or 376281 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 125288253 is about 11193.2235303330. The cubic root of 125288253 is about 500.3840422809.

The spelling of 125288253 in words is "one hundred twenty-five million, two hundred eighty-eight thousand, two hundred fifty-three".