1325065830 has 128 divisors (see below), whose sum is σ = 3640412160. Its totient is φ = 305763840.

The previous prime is 1325065817. The next prime is 1325065831. The reversal of 1325065830 is 385605231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1325065791 and 1325065800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325065831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572716 + ... + 575024.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 2^1325065830 is an apocalyptic number.

1325065830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325065830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1325065830 is an abundant number, since it is smaller than the sum of its proper divisors (2315346330).

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

1325065830 is a wasteful number, since it uses less digits than its factorization.

1325065830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1325065830 is about 36401.4536797639. The cubic root of 1325065830 is about 1098.3628069048.

The spelling of 1325065830 in words is "one billion, three hundred twenty-five million, sixty-five thousand, eight hundred thirty".