1053141200 has 60 divisors (see below), whose sum is σ = 2534560620. Its totient is φ = 420526080.

The previous prime is 1053141197. The next prime is 1053141203. The reversal of 1053141200 is 21413501.

1053141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1053141197) and next prime (1053141203).

It can be written as a sum of positive squares in 6 ways, for example, as 109914256 + 943226944 = 10484^2 + 30712^2 .

It is a super-2 number, since 2×1053141200² = 2218212774274880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053141203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268856 + ... + 272744.

It is an arithmetic number, because the mean of its divisors is an integer number (42242677).

Almost surely, 2^1053141200 is an apocalyptic number.

1053141200 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 1053141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267280310).

1053141200 is an abundant number, since it is smaller than the sum of its proper divisors (1481419420).

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

1053141200 is a wasteful number, since it uses less digits than its factorization.

1053141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1053141200 is about 32452.1370636820. The cubic root of 1053141200 is about 1017.4089046663.

Adding to 1053141200 its reverse (21413501), we get a palindrome (1074554701).

The spelling of 1053141200 in words is "one billion, fifty-three million, one hundred forty-one thousand, two hundred".