1100825352 has 96 divisors (see below), whose sum is σ = 3321751680. Its totient is φ = 326474880.

The previous prime is 1100825291. The next prime is 1100825353. The reversal of 1100825352 is 2535280011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1100825353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22438 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (34601580).

Almost surely, 2^1100825352 is an apocalyptic number.

1100825352 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 1100825352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660875840).

1100825352 is an abundant number, since it is smaller than the sum of its proper divisors (2220926328).

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

1100825352 is a wasteful number, since it uses less digits than its factorization.

1100825352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29643 (or 29636 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1100825352 is about 33178.6882200005. The cubic root of 1100825352 is about 1032.5382310494.

The spelling of 1100825352 in words is "one billion, one hundred million, eight hundred twenty-five thousand, three hundred fifty-two".