1331225664 has 224 divisors, whose sum is σ = 3908365056. Its totient is φ = 398131200.

The previous prime is 1331225659. The next prime is 1331225677. The reversal of 1331225664 is 4665221331.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8815989 + ... + 8816139.

Almost surely, 2^1331225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954182528).

1331225664 is an abundant number, since it is smaller than the sum of its proper divisors (2577139392).

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

1331225664 is a wasteful number, since it uses less digits than its factorization.

1331225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 1331225664 is about 36485.9653017431. The cubic root of 1331225664 is about 1100.0621628782.

Adding to 1331225664 its reverse (4665221331), we get a palindrome (5996446995).

The spelling of 1331225664 in words is "one billion, three hundred thirty-one million, two hundred twenty-five thousand, six hundred sixty-four".