63125 has 10 divisors (see below), whose sum is σ = 79662. Its totient is φ = 50000.

The previous prime is 63113. The next prime is 63127. The reversal of 63125 is 52136.

It can be written as a sum of positive squares in 5 ways, for example, as 8836 + 54289 = 94^2 + 233^2 .

It is not a de Polignac number, because 63125 - 2⁸ = 62869 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 575 + ... + 675.

2⁶³¹²⁵ is an apocalyptic number.

It is an amenable number.

63125 is a deficient number, since it is larger than the sum of its proper divisors (16537).

63125 is an equidigital number, since it uses as much as digits as its factorization.

63125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 63125 is about 251.2468905280. The cubic root of 63125 is about 39.8168712089.

It can be divided in two parts, 631 and 25, that added together give a palindrome (656).

The spelling of 63125 in words is "sixty-three thousand, one hundred twenty-five".