1153513200 has 240 divisors, whose sum is σ = 4304295936. Its totient is φ = 258585600.

The previous prime is 1153513183. The next prime is 1153513201. The reversal of 1153513200 is 23153511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153513201) 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, 443905 + ... + 446495.

Almost surely, 2^1153513200 is an apocalyptic number.

1153513200 is a gapful number since it is divisible by the number (10) 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 1153513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152147968).

1153513200 is an abundant number, since it is smaller than the sum of its proper divisors (3150782736).

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

1153513200 is a wasteful number, since it uses less digits than its factorization.

1153513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1153513200 is about 33963.4097228179. The cubic root of 1153513200 is about 1048.7553505968.

Adding to 1153513200 its reverse (23153511), we get a palindrome (1176666711).

The spelling of 1153513200 in words is "one billion, one hundred fifty-three million, five hundred thirteen thousand, two hundred".