1325528064 has 264 divisors, whose sum is σ = 4542178368. Its totient is φ = 378224640.

The previous prime is 1325528059. The next prime is 1325528069. The reversal of 1325528064 is 4608255231.

It is an interprime number because it is at equal distance from previous prime (1325528059) and next prime (1325528069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325528069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741444 + ... + 1742204.

Almost surely, 2^1325528064 is an apocalyptic number.

1325528064 is a gapful number since it is divisible by the number (14) 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 1325528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271089184).

1325528064 is an abundant number, since it is smaller than the sum of its proper divisors (3216650304).

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

1325528064 is an frugal number, since it uses more digits than its factorization.

1325528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1325528064 is about 36407.8022407286. The cubic root of 1325528064 is about 1098.4905091412.

The spelling of 1325528064 in words is "one billion, three hundred twenty-five million, five hundred twenty-eight thousand, sixty-four".