1653052320 has 384 divisors, whose sum is σ = 6131220480. Its totient is φ = 415134720.

The previous prime is 1653052283. The next prime is 1653052321. The reversal of 1653052320 is 232503561.

1653052320 is a `hidden beast` number, since 1 + 653 + 0 + 5 + 2 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1653052321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12618655 + ... + 12618785.

It is an arithmetic number, because the mean of its divisors is an integer number (15966720).

Almost surely, 2^1653052320 is an apocalyptic number.

1653052320 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 1653052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065610240).

1653052320 is an abundant number, since it is smaller than the sum of its proper divisors (4478168160).

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

1653052320 is a wasteful number, since it uses less digits than its factorization.

1653052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1653052320 is about 40657.7461254310. The cubic root of 1653052320 is about 1182.3939525303.

Adding to 1653052320 its reverse (232503561), we get a palindrome (1885555881).

The spelling of 1653052320 in words is "one billion, six hundred fifty-three million, fifty-two thousand, three hundred twenty".