1331255520 has 576 divisors, whose sum is σ = 5722617600. Its totient is φ = 287400960.

The previous prime is 1331255507. The next prime is 1331255531. The reversal of 1331255520 is 255521331.

1331255520 = 319³ + 320³ + ... + 353³.

It is a happy number.

1331255520 is a `hidden beast` number, since 13 + 3 + 125 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021755 + ... + 4022085.

It is an arithmetic number, because the mean of its divisors is an integer number (9935100).

Almost surely, 2^1331255520 is an apocalyptic number.

1331255520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861308800).

1331255520 is an abundant number, since it is smaller than the sum of its proper divisors (4391362080).

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

1331255520 is a wasteful number, since it uses less digits than its factorization.

1331255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1331255520 is about 36486.3744430712. The cubic root of 1331255520 is about 1100.0703866806.

Adding to 1331255520 its reverse (255521331), we get a palindrome (1586776851).

The spelling of 1331255520 in words is "one billion, three hundred thirty-one million, two hundred fifty-five thousand, five hundred twenty".