1261125 has 48 divisors (see below), whose sum is σ = 2433600. Its totient is φ = 626400.

The previous prime is 1261121. The next prime is 1261133. The reversal of 1261125 is 5211621.

It is not a de Polignac number, because 1261125 - 2² = 1261121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1261098 and 1261107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21346 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (50700).

2^1261125 is an apocalyptic number.

1261125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1261125 is a deficient number, since it is larger than the sum of its proper divisors (1172475).

1261125 is a wasteful number, since it uses less digits than its factorization.

1261125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1261125 is about 1122.9982190547. The cubic root of 1261125 is about 108.0403655697.

Adding to 1261125 its reverse (5211621), we get a palindrome (6472746).

The spelling of 1261125 in words is "one million, two hundred sixty-one thousand, one hundred twenty-five".