1653752256 has 112 divisors (see below), whose sum is σ = 4917179904. Its totient is φ = 486706176.

The previous prime is 1653752249. The next prime is 1653752281. The reversal of 1653752256 is 6522573561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43005 + ... + 71811.

It is an arithmetic number, because the mean of its divisors is an integer number (43903392).

Almost surely, 2^1653752256 is an apocalyptic number.

1653752256 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 1653752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458589952).

1653752256 is an abundant number, since it is smaller than the sum of its proper divisors (3263427648).

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

1653752256 is a wasteful number, since it uses less digits than its factorization.

1653752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28858 (or 28848 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 1653752256 is about 40666.3528731063. The cubic root of 1653752256 is about 1182.5608122042.

The spelling of 1653752256 in words is "one billion, six hundred fifty-three million, seven hundred fifty-two thousand, two hundred fifty-six".