1755491652 has 144 divisors (see below), whose sum is σ = 4774049280. Its totient is φ = 542640384.

The previous prime is 1755491651. The next prime is 1755491657. The reversal of 1755491652 is 2561945571.

It is a happy number.

1755491652 is a `hidden beast` number, since 1 + 7 + 554 + 91 + 6 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1755491598 and 1755491607.

It is not an unprimeable number, because it can be changed into a prime (1755491651) 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 47 ways as a sum of consecutive naturals, for example, 4783173 + ... + 4783539.

It is an arithmetic number, because the mean of its divisors is an integer number (33153120).

Almost surely, 2^1755491652 is an apocalyptic number.

1755491652 is a gapful number since it is divisible by the number (12) 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 1755491652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387024640).

1755491652 is an abundant number, since it is smaller than the sum of its proper divisors (3018557628).

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

1755491652 is a wasteful number, since it uses less digits than its factorization.

1755491652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1755491652 is about 41898.5877088954. The cubic root of 1755491652 is about 1206.3303551148.

The spelling of 1755491652 in words is "one billion, seven hundred fifty-five million, four hundred ninety-one thousand, six hundred fifty-two".