125586253 has 8 divisors (see below), whose sum is σ = 135449496. Its totient is φ = 115752000.

The previous prime is 125586217. The next prime is 125586271. The reversal of 125586253 is 352685521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22401289 + 103184964 = 4733^2 + 10158^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125586253 - 2²¹ = 123489101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125586283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 16003.

It is an arithmetic number, because the mean of its divisors is an integer number (16931187).

Almost surely, 2^125586253 is an apocalyptic number.

125586253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125586253 is a deficient number, since it is larger than the sum of its proper divisors (9863243).

125586253 is a wasteful number, since it uses less digits than its factorization.

125586253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14495.

The product of its digits is 72000, while the sum is 37.

The square root of 125586253 is about 11206.5272497772. The cubic root of 125586253 is about 500.7804518227.

The spelling of 125586253 in words is "one hundred twenty-five million, five hundred eighty-six thousand, two hundred fifty-three".