261126125 has 48 divisors (see below), whose sum is σ = 361760256. Its totient is φ = 188011200.

The previous prime is 261126083. The next prime is 261126127. The reversal of 261126125 is 521621162.

It is not a de Polignac number, because 261126125 - 2⁸ = 261125869 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 261126094 and 261126103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261126127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992744 + ... + 993006.

It is an arithmetic number, because the mean of its divisors is an integer number (7536672).

Almost surely, 2^261126125 is an apocalyptic number.

261126125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261126125 is a deficient number, since it is larger than the sum of its proper divisors (100634131).

261126125 is a wasteful number, since it uses less digits than its factorization.

261126125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 261126125 is about 16159.3974206961. The cubic root of 261126125 is about 639.1705767580.

Adding to 261126125 its reverse (521621162), we get a palindrome (782747287).

The spelling of 261126125 in words is "two hundred sixty-one million, one hundred twenty-six thousand, one hundred twenty-five".