1325165184 has 480 divisors, whose sum is σ = 4902242400. Its totient is φ = 347120640.

The previous prime is 1325165183. The next prime is 1325165189. The reversal of 1325165184 is 4815615231.

1325165184 is a `hidden beast` number, since 13 + 2 + 516 + 51 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1325165183) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42747249 + ... + 42747279.

It is an arithmetic number, because the mean of its divisors is an integer number (10213005).

Almost surely, 2^1325165184 is an apocalyptic number.

1325165184 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 1325165184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451121200).

1325165184 is an abundant number, since it is smaller than the sum of its proper divisors (3577077216).

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

1325165184 is an equidigital number, since it uses as much as digits as its factorization.

1325165184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1325165184 is about 36402.8183524298. The cubic root of 1325165184 is about 1098.3902581223.

The spelling of 1325165184 in words is "one billion, three hundred twenty-five million, one hundred sixty-five thousand, one hundred eighty-four".