1325228520 has 256 divisors, whose sum is σ = 5059584000. Its totient is φ = 275278080.

The previous prime is 1325228503. The next prime is 1325228539. The reversal of 1325228520 is 258225231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451297 + ... + 454223.

It is an arithmetic number, because the mean of its divisors is an integer number (19764000).

Almost surely, 2^1325228520 is an apocalyptic number.

1325228520 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 1325228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529792000).

1325228520 is an abundant number, since it is smaller than the sum of its proper divisors (3734355480).

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

1325228520 is a wasteful number, since it uses less digits than its factorization.

1325228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1325228520 is about 36403.6882746790. The cubic root of 1325228520 is about 1098.4077569564.

The spelling of 1325228520 in words is "one billion, three hundred twenty-five million, two hundred twenty-eight thousand, five hundred twenty".