1653541056 has 84 divisors (see below), whose sum is σ = 4753810152. Its totient is φ = 549525504.

The previous prime is 1653541037. The next prime is 1653541067. The reversal of 1653541056 is 6501453561.

1653541056 is a `hidden beast` number, since 1 + 65 + 3 + 541 + 0 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1653541056.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 195736 + ... + 204008.

It is an arithmetic number, because the mean of its divisors is an integer number (56592978).

Almost surely, 2^1653541056 is an apocalyptic number.

1653541056 is a gapful number since it is divisible by the number (16) 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 1653541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376905076).

1653541056 is an abundant number, since it is smaller than the sum of its proper divisors (3100269096).

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

1653541056 is a wasteful number, since it uses less digits than its factorization.

1653541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1653541056 is about 40663.7560488453. The cubic root of 1653541056 is about 1182.5104686143.

The spelling of 1653541056 in words is "one billion, six hundred fifty-three million, five hundred forty-one thousand, fifty-six".