1331305125 has 32 divisors (see below), whose sum is σ = 2220701184. Its totient is φ = 708296000.

The previous prime is 1331305109. The next prime is 1331305141. The reversal of 1331305125 is 5215031331.

It is an interprime number because it is at equal distance from previous prime (1331305109) and next prime (1331305141).

It is not a de Polignac number, because 1331305125 - 2⁴ = 1331305109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331305095 and 1331305104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157507 + ... + 165743.

It is an arithmetic number, because the mean of its divisors is an integer number (69396912).

Almost surely, 2^1331305125 is an apocalyptic number.

1331305125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331305125 is a deficient number, since it is larger than the sum of its proper divisors (889396059).

1331305125 is an equidigital number, since it uses as much as digits as its factorization.

1331305125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1331305125 is about 36487.0542110486. The cubic root of 1331305125 is about 1100.0840500515.

Adding to 1331305125 its reverse (5215031331), we get a palindrome (6546336456).

The spelling of 1331305125 in words is "one billion, three hundred thirty-one million, three hundred five thousand, one hundred twenty-five".