1285101125 has 128 divisors (see below), whose sum is σ = 2127790080. Its totient is φ = 751680000.

The previous prime is 1285101121. The next prime is 1285101143. The reversal of 1285101125 is 5211015821.

It is not a de Polignac number, because 1285101125 - 2² = 1285101121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1285101094 and 1285101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285101121) 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 127 ways as a sum of consecutive naturals, for example, 17604089 + ... + 17604161.

It is an arithmetic number, because the mean of its divisors is an integer number (16623360).

Almost surely, 2^1285101125 is an apocalyptic number.

It is an amenable number.

1285101125 is a deficient number, since it is larger than the sum of its proper divisors (842688955).

1285101125 is a wasteful number, since it uses less digits than its factorization.

1285101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 26.

The square root of 1285101125 is about 35848.3071427369. The cubic root of 1285101125 is about 1087.2074872766.

Adding to 1285101125 its reverse (5211015821), we get a palindrome (6496116946).

The spelling of 1285101125 in words is "one billion, two hundred eighty-five million, one hundred one thousand, one hundred twenty-five".