8253633200 has 60 divisors (see below), whose sum is σ = 19848578568. Its totient is φ = 3298252800.

The previous prime is 8253633187. The next prime is 8253633203. The reversal of 8253633200 is 23363528.

It is a super-2 number, since 2×8253633200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8253633203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426944 + ... + 445856.

Almost surely, 2^8253633200 is an apocalyptic number.

8253633200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8253633200 is an abundant number, since it is smaller than the sum of its proper divisors (11594945368).

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

8253633200 is a wasteful number, since it uses less digits than its factorization.

8253633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20011 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 8253633200 is about 90849.5085292155. The cubic root of 8253633200 is about 2020.9165856327.

Adding to 8253633200 its reverse (23363528), we get a palindrome (8276996728).

The spelling of 8253633200 in words is "eight billion, two hundred fifty-three million, six hundred thirty-three thousand, two hundred".