1653441282752 has 252 divisors, whose sum is σ = 4199962689720. Its totient is φ = 642121869312.

The previous prime is 1653441282697. The next prime is 1653441282791. The reversal of 1653441282752 is 2572821443561.

It is a self number, because there is not a number n which added to its sum of digits gives 1653441282752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31493708 + ... + 31546164.

It is an arithmetic number, because the mean of its divisors is an integer number (16666518610).

Almost surely, 2^{1653441282752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653441282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099981344860).

1653441282752 is an abundant number, since it is smaller than the sum of its proper divisors (2546521406968).

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

1653441282752 is a wasteful number, since it uses less digits than its factorization.

1653441282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52548 (or 52508 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The spelling of 1653441282752 in words is "one trillion, six hundred fifty-three billion, four hundred forty-one million, two hundred eighty-two thousand, seven hundred fifty-two".