1003251125 has 16 divisors (see below), whose sum is σ = 1254195696. Its totient is φ = 801230400.

The previous prime is 1003251113. The next prime is 1003251173. The reversal of 1003251125 is 5211523001.

1003251125 = 220² + 221² + ... + 1445².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 451095121 + 552156004 = 21239^2 + 23498^2 .

It is not a de Polignac number, because 1003251125 - 2¹² = 1003247029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003251097 and 1003251106.

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, 70079 + ... + 83171.

It is an arithmetic number, because the mean of its divisors is an integer number (78387231).

Almost surely, 2^1003251125 is an apocalyptic number.

It is an amenable number.

1003251125 is a deficient number, since it is larger than the sum of its proper divisors (250944571).

1003251125 is an equidigital number, since it uses as much as digits as its factorization.

1003251125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1003251125 is about 31674.1396883956. The cubic root of 1003251125 is about 1001.0825360262.

Adding to 1003251125 its reverse (5211523001), we get a palindrome (6214774126).

The spelling of 1003251125 in words is "one billion, three million, two hundred fifty-one thousand, one hundred twenty-five".