261125 has 8 divisors (see below), whose sum is σ = 326040. Its totient is φ = 208800.

The previous prime is 261101. The next prime is 261127. The reversal of 261125 is 521162.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 261121 = 2^2 + 511^2 .

It is not a de Polignac number, because 261125 - 2⁶ = 261061 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261127) 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, 920 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (40755).

261125 is a Friedman number, since it can be written as 511^2+6-2, using all its digits and the basic arithmetic operations.

2²⁶¹¹²⁵ is an apocalyptic number.

261125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261125 is a deficient number, since it is larger than the sum of its proper divisors (64915).

261125 is an equidigital number, since it uses as much as digits as its factorization.

261125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 261125 is about 511.0039138793. The cubic root of 261125 is about 63.9169658852.

Adding to 261125 its reverse (521162), we get a palindrome (782287).

The spelling of 261125 in words is "two hundred sixty-one thousand, one hundred twenty-five".