1653169056 has 288 divisors, whose sum is σ = 5642638848. Its totient is φ = 418844160.

The previous prime is 1653169003. The next prime is 1653169069. The reversal of 1653169056 is 6509613561.

It is a super-2 number, since 2×1653169056² = 5465935855431862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1653168999 and 1653169017.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2224621 + ... + 2225363.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^1653169056 is an apocalyptic number.

1653169056 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 1653169056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821319424).

1653169056 is an abundant number, since it is smaller than the sum of its proper divisors (3989469792).

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

1653169056 is a wasteful number, since it uses less digits than its factorization.

1653169056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 1653169056 is about 40659.1816936839. The cubic root of 1653169056 is about 1182.4217848196.

The spelling of 1653169056 in words is "one billion, six hundred fifty-three million, one hundred sixty-nine thousand, fifty-six".