1053132300 has 288 divisors, whose sum is σ = 3762259200. Its totient is φ = 250560000.

The previous prime is 1053132277. The next prime is 1053132373. The reversal of 1053132300 is 32313501.

It is a super-2 number, since 2×1053132300² = 2218175282606580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1752000 + ... + 1752600.

It is an arithmetic number, because the mean of its divisors is an integer number (13063400).

Almost surely, 2^1053132300 is an apocalyptic number.

1053132300 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 1053132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881129600).

1053132300 is an abundant number, since it is smaller than the sum of its proper divisors (2709126900).

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

1053132300 is a wasteful number, since it uses less digits than its factorization.

1053132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1053132300 is about 32451.9999383705. Note that the first 4 decimals coincide. The cubic root of 1053132300 is about 1017.4060386483.

Adding to 1053132300 its reverse (32313501), we get a palindrome (1085445801).

The spelling of 1053132300 in words is "one billion, fifty-three million, one hundred thirty-two thousand, three hundred".