1282501125 has 48 divisors (see below), whose sum is σ = 2338081200. Its totient is φ = 676262400.

The previous prime is 1282501111. The next prime is 1282501127. The reversal of 1282501125 is 5211052821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 744307524 + 538193601 = 27282^2 + 23199^2 .

It is not a de Polignac number, because 1282501125 - 2⁷ = 1282500997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282501127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93721 + ... + 106529.

It is an arithmetic number, because the mean of its divisors is an integer number (48710025).

Almost surely, 2^1282501125 is an apocalyptic number.

1282501125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1282501125 is a deficient number, since it is larger than the sum of its proper divisors (1055580075).

1282501125 is a wasteful number, since it uses less digits than its factorization.

1282501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1282501125 is about 35812.0248659581. The cubic root of 1282501125 is about 1086.4737841985.

Adding to 1282501125 its reverse (5211052821), we get a palindrome (6493553946).

The spelling of 1282501125 in words is "one billion, two hundred eighty-two million, five hundred one thousand, one hundred twenty-five".