1653521152 has 72 divisors (see below), whose sum is σ = 3555578880. Its totient is φ = 765219840.

The previous prime is 1653521143. The next prime is 1653521153. The reversal of 1653521152 is 2511253561.

It is a super-2 number, since 2×1653521152² = 5468264400222814208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1653521153) 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 7 ways as a sum of consecutive naturals, for example, 177999 + ... + 187057.

It is an arithmetic number, because the mean of its divisors is an integer number (49383040).

Almost surely, 2^1653521152 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 1653521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777789440).

1653521152 is an abundant number, since it is smaller than the sum of its proper divisors (1902057728).

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

1653521152 is an equidigital number, since it uses as much as digits as its factorization.

1653521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9115 counting only the distinct ones).

The product of its digits is 9000, while the sum is 31.

The square root of 1653521152 is about 40663.5113092807. The cubic root of 1653521152 is about 1182.5057238913.

The spelling of 1653521152 in words is "one billion, six hundred fifty-three million, five hundred twenty-one thousand, one hundred fifty-two".