1053264300 has 144 divisors (see below), whose sum is σ = 3469277952. Its totient is φ = 244217600.

The previous prime is 1053264269. The next prime is 1053264349. The reversal of 1053264300 is 34623501.

It is a happy number.

It is a super-2 number, since 2×1053264300² = 2218731371308980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68962 + ... + 82838.

It is an arithmetic number, because the mean of its divisors is an integer number (24092208).

Almost surely, 2^1053264300 is an apocalyptic number.

1053264300 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 1053264300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734638976).

1053264300 is an abundant number, since it is smaller than the sum of its proper divisors (2416013652).

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

1053264300 is a wasteful number, since it uses less digits than its factorization.

1053264300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1053264300 is about 32454.0336476069. The cubic root of 1053264300 is about 1017.4485442248.

Adding to 1053264300 its reverse (34623501), we get a palindrome (1087887801).

The spelling of 1053264300 in words is "one billion, fifty-three million, two hundred sixty-four thousand, three hundred".