2253552100 has 18 divisors (see below), whose sum is σ = 4890208274. Its totient is φ = 901420800.

The previous prime is 2253552089. The next prime is 2253552109. The reversal of 2253552100 is 12553522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 192210496 + 2061341604 = 13864^2 + 45402^2 .

It is a super-3 number, since 3×2253552100³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2253552109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11267661 + ... + 11267860.

Almost surely, 2^2253552100 is an apocalyptic number.

2253552100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253552100 is an abundant number, since it is smaller than the sum of its proper divisors (2636656174).

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

2253552100 is a wasteful number, since it uses less digits than its factorization.

2253552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22535535 (or 22535528 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2253552100 is about 47471.5925580762. The cubic root of 2253552100 is about 1311.0599001405.

The spelling of 2253552100 in words is "two billion, two hundred fifty-three million, five hundred fifty-two thousand, one hundred".