1001312325 has 108 divisors (see below), whose sum is σ = 2057597100. Its totient is φ = 463656960.

The previous prime is 1001312303. The next prime is 1001312327. The reversal of 1001312325 is 5232131001.

It can be written as a sum of positive squares in 18 ways, for example, as 903242916 + 98069409 = 30054^2 + 9903^2 .

It is not a de Polignac number, because 1001312325 - 2⁷ = 1001312197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001312298 and 1001312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312327) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 645651 + ... + 647199.

It is an arithmetic number, because the mean of its divisors is an integer number (19051825).

Almost surely, 2^1001312325 is an apocalyptic number.

1001312325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001312325 is an abundant number, since it is smaller than the sum of its proper divisors (1056284775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001312325 is a wasteful number, since it uses less digits than its factorization.

1001312325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1001312325 is about 31643.5194787179. The cubic root of 1001312325 is about 1000.4372504508.

Adding to 1001312325 its reverse (5232131001), we get a palindrome (6233443326).

The spelling of 1001312325 in words is "one billion, one million, three hundred twelve thousand, three hundred twenty-five".