1003121125 has 16 divisors (see below), whose sum is σ = 1325538864. Its totient is φ = 755289600.

The previous prime is 1003121117. The next prime is 1003121173. The reversal of 1003121125 is 5211213001.

It can be written as a sum of positive squares in 8 ways, for example, as 468679201 + 534441924 = 21649^2 + 23118^2 .

It is not a de Polignac number, because 1003121125 - 2³ = 1003121117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003121099 and 1003121108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233904 + ... + 238153.

It is an arithmetic number, because the mean of its divisors is an integer number (82846179).

Almost surely, 2^1003121125 is an apocalyptic number.

It is an amenable number.

1003121125 is a deficient number, since it is larger than the sum of its proper divisors (322417739).

1003121125 is an equidigital number, since it uses as much as digits as its factorization.

1003121125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472089 (or 472079 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1003121125 is about 31672.0874746203. The cubic root of 1003121125 is about 1001.0392944928.

Adding to 1003121125 its reverse (5211213001), we get a palindrome (6214334126).

The spelling of 1003121125 in words is "one billion, three million, one hundred twenty-one thousand, one hundred twenty-five".