61125 has 16 divisors (see below), whose sum is σ = 102336. Its totient is φ = 32400.

The previous prime is 61121. The next prime is 61129. The reversal of 61125 is 52116.

It is an interprime number because it is at equal distance from previous prime (61121) and next prime (61129).

It is not a de Polignac number, because 61125 - 2² = 61121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (6396).

2⁶¹¹²⁵ is an apocalyptic number.

It is an amenable number.

61125 is a deficient number, since it is larger than the sum of its proper divisors (41211).

61125 is a wasteful number, since it uses less digits than its factorization.

61125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 61125 is about 247.2347063015. The cubic root of 61125 is about 39.3918421273.

Subtracting from 61125 its reverse (52116), we obtain a palindrome (9009).

It can be divided in two parts, 611 and 25, that added together give a palindrome (636).

The spelling of 61125 in words is "sixty-one thousand, one hundred twenty-five".